diff --git a/client/src/utils/__tests__/svg.test.ts b/client/src/utils/__tests__/svg.test.ts
index ad86bb6cb1..3740685742 100644
--- a/client/src/utils/__tests__/svg.test.ts
+++ b/client/src/utils/__tests__/svg.test.ts
@@ -466,6 +466,12 @@ describe('isMonochromeSvg', () => {
       expect(isMonochromeSvg(svg)).toBe(true);
     });
 
+    it('ignores a background rect in an opacity-zero group despite its own fill-opacity', () => {
+      const svg =
+        '<svg viewBox="0 0 24 24"><g opacity="0"><rect width="24" height="24" fill="#fff" fill-opacity="1" /></g><path fill="#000" d="M4 4h16v16H4z" /></svg>';
+      expect(isMonochromeSvg(svg)).toBe(true);
+    });
+
     it('rejects a full-size percentage background rect', () => {
       const svg =
         '<svg viewBox="0 0 24 24"><rect x="0" y="0" width="100%" height="100%" fill="#eee" /><path fill="#222" /></svg>';
@@ -527,6 +533,20 @@ describe('isMonochromeSvg', () => {
     });
   });
 
+  describe('opacity-zero ancestors hide their descendants', () => {
+    it('ignores a colored paint inside an opacity-zero group despite its own fill-opacity', () => {
+      const svg =
+        '<svg viewBox="0 0 24 24"><g opacity="0"><path fill="#f00" fill-opacity="1" d="M0 0h24v24H0z" /></g><path fill="#333" d="M4 4h16v16H4z" /></svg>';
+      expect(isMonochromeSvg(svg)).toBe(true);
+    });
+
+    it('still counts a paint whose fill-opacity is one under a visible group', () => {
+      const svg =
+        '<svg viewBox="0 0 24 24"><g opacity="1"><path fill="#f00" fill-opacity="1" d="M4 4h16v16H4z" /></g></svg>';
+      expect(isMonochromeSvg(svg)).toBe(false);
+    });
+  });
+
   describe('embedded raster/foreign content (not tintable)', () => {
     it('rejects an SVG wrapping an embedded raster image (href)', () => {
       const svg = '<svg><image href="data:image/png;base64,abc" width="24" height="24" /></svg>';
diff --git a/client/src/utils/svg.ts b/client/src/utils/svg.ts
index c70d4eaa06..72b4db2b57 100644
--- a/client/src/utils/svg.ts
+++ b/client/src/utils/svg.ts
@@ -513,9 +513,11 @@ function isHidden(el: Element, root: Element, rules: StyleRule[]): boolean {
 }
 
 /**
- * True when a paint is fully transparent through opacity: the element (or an
- * ancestor group) has `opacity:0`, or the inherited paint-specific opacity (e.g.
- * `fill-opacity`) resolves to zero.
+ * True when a paint is fully transparent through opacity: the element or any
+ * ancestor group has `opacity:0` (group opacity is not inherited and composites
+ * the whole subtree), or the nearest paint-specific opacity (e.g. `fill-opacity`)
+ * resolves to zero. The nearest paint-specific opacity wins, but the walk keeps
+ * checking ancestors for `opacity:0` even after a nonzero one is found.
  */
 function paintInvisible(
   el: Element,
@@ -524,15 +526,19 @@ function paintInvisible(
   paintProp: string,
 ): boolean {
   const opacityProp = PAINT_OPACITY.get(paintProp);
+  let paintOpacityResolved = false;
   let current: Element | null = el;
   while (current != null) {
     if (styleNumber(current, rules, 'opacity') === 0) {
       return true;
     }
-    if (opacityProp != null) {
+    if (opacityProp != null && !paintOpacityResolved) {
       const value = styleNumber(current, rules, opacityProp);
       if (value != null) {
-        return value === 0;
+        if (value === 0) {
+          return true;
+        }
+        paintOpacityResolved = true;
       }
     }
     if (current === root) {