If I'm at my own domain, "Sign in" doesn't bring value. No other users will be able to sign in.

I get it's part of the Hashnode, so that you can also get new users. But those who landed to my blog via different source may not have context and it's just confusing for them. Sign in for what?

You can put something Hashnode related, it's not about removing Hashnode visuals, it's more about the context.

Another thing, consider removing it completely, even if you're logged in. You are providing HotJar integration, and you can set it up easily with Hashnode. That's cool. But, what I'm getting now is the information which exactly user did what (if they are hashnode members). It shows the picture and then I see where you clicked, which reactions you put and many more details. Maybe this can be considered as sharing personal (meta) data