If experience is any guide, they are not.
Consumer routers have horrible track of embarrassing, easily exploitable vulnerabilities. That are not patched for a long time or ever.
And exposing your router to public like that suggests the owner knows very little about security. This typically goes in hand with other neglect. Tell me, how many home users that are not security conscious keep their routers regularly patched and will replace the router when the manufacturer stops supporting them?