NuxtLink navigation to nested route does not show error page on client side navigation

<script>
throw createError({message: "sus",fatal: true})
</script>

<template>
  <NuxtLink to="/course">NuxtLink /course</NuxtLink>
  <NuxtLink to="/course/first_lesson">nuxtLink /first lesson</NuxtLink>
  <a href="/course/first_lesson">a /first lesson</a>
</template>

<template>
  <NuxtLink to="/course/first_lesson"></NuxtLink>
  <NuxtLink to="/course/first_lesson"></NuxtLink>
  <NuxtErrorBoundary>
    <NuxtPage/>
  
    <template #error="{error,clearError}"...>
  </NuxtErrorBoundary>
</template>