diff --git a/.changeset/plain-animate-name.md b/.changeset/plain-animate-name.md
new file mode 100644
index 00000000..c826ff09
--- /dev/null
+++ b/.changeset/plain-animate-name.md
@@ -0,0 +1,5 @@
+---
+"streamdown": patch
+---
+
+Remove the obsolete rehypeAnimate name override; processor caching now uses function identity.
diff --git a/.changeset/quiet-plugins-render.md b/.changeset/quiet-plugins-render.md
index 5ada25f2..7d28c5ec 100644
--- a/.changeset/quiet-plugins-render.md
+++ b/.changeset/quiet-plugins-render.md
@@ -2,4 +2,4 @@
 "streamdown": patch
 ---
 
-Distinguish remark and rehype plugins by function identity when caching processors, so same-name plugins with different closures do not reuse each other's behavior.
+Distinguish remark and rehype plugins by function identity when caching processors, so same-name plugins with different closures do not reuse each other's behavior. Apps that create plugin functions during render now get a new processor on each render. This is slower for that pattern but does not grow memory; create plugins once (module scope or `useMemo`) to keep cache hits.
diff --git a/packages/streamdown/lib/animate.ts b/packages/streamdown/lib/animate.ts
index 642a2566..ac80861b 100644
--- a/packages/streamdown/lib/animate.ts
+++ b/packages/streamdown/lib/animate.ts
@@ -590,8 +590,6 @@ const processTextNode = (
   return index + nodes.length;
 };
 
-let instanceId = 0;
-
 /**
  * Create an animate rehype plugin. The optional `timeline` is an internal
  * Streamdown wiring detail — not part of the public `animated` prop surface.
@@ -636,7 +634,6 @@ function buildAnimatePlugin(
     pendingMark: null,
   };
 
-  const id = instanceId++;
   const rehypeAnimate = () => (tree: Root) => {
     const charCounter = { count: 0, newIndex: 0 };
 
@@ -692,10 +689,6 @@ function buildAnimatePlugin(
     renderState.prevContentLength = 0;
   };
 
-  Object.defineProperty(rehypeAnimate, "name", {
-    value: `rehypeAnimate$${id}`,
-  });
-
   return {
     name: "animate",
     type: "animate",