Adams No Stir Peanut Butter does not need to be refrigerated.
The Adams No Stir Peanut Butter can remain out at room temperature forever and it will be okay and there's no need to refrigerate the peanut butter.
That goes for any other peanut butter brands as well.
There's nothing in peanut butter that will go bad if it's not refrigerated.
You can safely leave peanut butter at room temperature without it going bad.
You can refrigerate peanut butter but there's no need to refrigerate the peanut butter if you do not want too.
I've never refrigerated peanut butter and have had no issues with doing so.