I found the problem that was making me sign into every blog on which I wanted to make a comment.
The problem lies in the operations of a web extension called “Privacy Badger.”
If you are using Privacy Badger on your side then you need to whitelist whichever site it is that you are trying to leave a comment on. — But whitelisting is not such a big deal. All you have to do is strike the big blue circle on the program with your mouse-generated cursor and all is well.
This is something that might cause you a lot of mental floss if you don’t know what is happening.
I think much the same thing might be said of any other “Security and Privacy” program you might be using also….. you need to whitelist the sites with which you wish to interact.