Perhaps you would be better served to stop doing your nonsense of clicking links you don't want to click instead—that way you don't have to worry about it.
Obviously, I don't do it on porpoise. My old trackpad click doesn't work so I changed its behavior so it works like a normal Windows trackpad where you make clicks by touching instead of pressing.
I just tend to take the cursor to the side while I scroll so I don't make any accidental clicks while doing the scrolling gesture. And now that annoying bar pops up all the goddamn time.
This change in Safari might be very useful for some but it makes no sense at all to have it on by default and not being able to turn it off. It's literally a huge "what the ****". It's so annoying I don't even know what to do. I can't change my 4 years adapted behavior in a few days. This is ********.