diff --git a/tests/test_badge_tooltips.py b/tests/test_badge_tooltips.py
index 57d505a7..7e2bb73d 100644
--- a/tests/test_badge_tooltips.py
+++ b/tests/test_badge_tooltips.py
@@ -22,6 +22,8 @@
 reStructuredText, and the MyST variants are guarded by ``MYST_PARAM``.
 """
 
+import re
+
 from docutils import nodes
 import pytest
 from sphinx import addnodes
@@ -349,8 +351,15 @@ def test_ref_badge_tooltip_survives_resolution(fmt, sphinx_builder):
     builder = _build(sphinx_builder, fmt, REF["rst"], REF["myst"])
     html = (builder.out_path / "index.html").read_text(encoding="utf8")
 
-    # both badges resolve to the target anchor
-    assert html.count('href="#my-target"') == 2
+    # both badges resolve to the target anchor; only the badge anchors are
+    # counted, since the theme's own links to the section (its headerlink,
+    # the sidebar TOC) depend on which id the parser makes the section's
+    # primary one, and MyST-Parser's heading-anchor rework
+    # (executablebooks/MyST-Parser#1158) makes it the explicit target
+    badge_anchors = re.findall(
+        r'<a class="[^"]*\bsd-badge\b[^"]*" href="#my-target"[ >]', html
+    )
+    assert len(badge_anchors) == 2
     # the tooltipped one carries the title; it survived resolution
     assert (
         '<a class="sd-sphinx-override sd-badge sd-bg-primary sd-bg-text-primary'
diff --git a/tests/test_snippets.py b/tests/test_snippets.py
index 884264c8..9752017e 100644
--- a/tests/test_snippets.py
+++ b/tests/test_snippets.py
@@ -3,6 +3,7 @@
 from collections.abc import Callable
 from pathlib import Path
 
+from docutils import nodes
 import pytest
 
 from .conftest import SphinxBuilder
@@ -25,6 +26,21 @@
 ]
 
 
+def sort_ids(doctree: nodes.document) -> nodes.document:
+    """Sort the ``ids`` of every element, in place.
+
+    The order of an element's ids is a parser detail, not sphinx-design output:
+    for a section with an explicit target, docutils lists the title slug first,
+    while MyST-Parser's heading-anchor rework (executablebooks/MyST-Parser#1158)
+    lists the explicit target first. Sorting keeps the RST and MyST snippets
+    comparing against the same fixture, and still checks the full set of ids.
+    """
+    for node in doctree.findall(nodes.Element):
+        if len(node["ids"]) > 1:
+            node["ids"] = sorted(node["ids"])
+    return doctree
+
+
 def write_assets(src_path: Path):
     """Write additional assets to the src directory."""
     src_path.joinpath("snippet.py").write_text("a = 1")
@@ -50,7 +66,7 @@ def test_snippets_rst(
     builder.src_path.joinpath("index.rst").write_text(content, encoding="utf8")
     write_assets(builder.src_path)
     builder.build()
-    doctree = builder.get_doctree("index", post_transforms=False)
+    doctree = sort_ids(builder.get_doctree("index", post_transforms=False))
     doctree.attributes.pop("translation_progress", None)  # added in sphinx 7.1
     file_regression.check(
         normalize_doctree_xml(doctree.pformat()),
@@ -78,7 +94,7 @@ def test_snippets_myst(
     builder.src_path.joinpath("index.md").write_text(content, encoding="utf8")
     write_assets(builder.src_path)
     builder.build()
-    doctree = builder.get_doctree("index", post_transforms=False)
+    doctree = sort_ids(builder.get_doctree("index", post_transforms=False))
     doctree.attributes.pop("translation_progress", None)  # added in sphinx 7.1
     file_regression.check(
         normalize_doctree_xml(doctree.pformat()),
@@ -105,7 +121,7 @@ def test_snippets_rst_post(
     builder.src_path.joinpath("index.rst").write_text(content, encoding="utf8")
     write_assets(builder.src_path)
     builder.build()
-    doctree = builder.get_doctree("index", post_transforms=True)
+    doctree = sort_ids(builder.get_doctree("index", post_transforms=True))
     doctree.attributes.pop("translation_progress", None)  # added in sphinx 7.1
     file_regression.check(
         normalize_doctree_xml(doctree.pformat()),
@@ -133,7 +149,7 @@ def test_snippets_myst_post(
     builder.src_path.joinpath("index.md").write_text(content, encoding="utf8")
     write_assets(builder.src_path)
     builder.build()
-    doctree = builder.get_doctree("index", post_transforms=True)
+    doctree = sort_ids(builder.get_doctree("index", post_transforms=True))
     doctree.attributes.pop("translation_progress", None)  # added in sphinx 7.1
     file_regression.check(
         normalize_doctree_xml(doctree.pformat()),
diff --git a/tests/test_snippets/snippet_post_card-link.xml b/tests/test_snippets/snippet_post_card-link.xml
index 3d74e127..59ec5e47 100644
--- a/tests/test_snippets/snippet_post_card-link.xml
+++ b/tests/test_snippets/snippet_post_card-link.xml
@@ -3,7 +3,7 @@
         <title>
             Heading
         <target refid="cards-clickable">
-        <section ids="clickable-cards cards-clickable" names="clickable\ cards cards-clickable">
+        <section ids="cards-clickable clickable-cards" names="clickable\ cards cards-clickable">
             <title>
                 Clickable cards
             <paragraph>
diff --git a/tests/test_snippets/snippet_pre_card-link.xml b/tests/test_snippets/snippet_pre_card-link.xml
index 86461813..2f7b35bf 100644
--- a/tests/test_snippets/snippet_pre_card-link.xml
+++ b/tests/test_snippets/snippet_pre_card-link.xml
@@ -3,7 +3,7 @@
         <title>
             Heading
         <target refid="cards-clickable">
-        <section ids="clickable-cards cards-clickable" names="clickable\ cards cards-clickable">
+        <section ids="cards-clickable clickable-cards" names="clickable\ cards cards-clickable">
             <title>
                 Clickable cards
             <paragraph>