Thanks for the question! You should be able to Turn Off Login/Signup button by opening Blog Settings, going to “Display” tab and choosing “Blog Menu”.
There there's a toggle for Login/Signup Button. Adding a screenshot to help you out!
Let me know, if that solves your problem!
Is it possible to set up the blog, in particular comments, where there is no sign-up option to publish the comments? I don't have a membership, and don't want one but still want to have blogs and the ability to comment - the option to sign up under comments would be confusing for viewers and take them to an error page and I don't want that. Thanks.
Maybe you can change that in the part of the control panel