DC Pet Peeve is when Batfanon people act like Bats are capable of keeping up with Supers. They always attribute this to Bats being smarter than Supers, and therefore make it seem like Supers are dumb as rocks. Jon learnt chess and mastered it enough to beat Lex Luthor in 7 seconds. He can perform micro-surgeries inside a person's brain mid-air. Clark, Paige and Kara are older, wiser, and have more experience. Kryptonite would weaken them but depending on the amount, they can recover from green kryptonite and they aren't useless without their powers either.
In their peak form, a Bat is nothing but a flimsy tissue paper to them. I don't think you are really sitting down and thinking about what it means to be faster than sound, to have the strength to move planets, breath glaciers and shoot the fire of the sun out of their eyes.
And even among the non-kryptonians, you've got the Steels who are geniuses on par with Lex and Bruce. Their tech is highly advanced and JH is from a military background and combats regularly with threats like freaking Mongul and Darkseid. A bat's gonna not look all that great coming out of a fight with the Steels.
The best a Bat can do is survive a Super. In canon, every time a Super is going all out, the ENTIRE Justice League has to come together to contain them with multiple losses. And that's usually just for one kryptonian Super (typically Clark). You're telling me Bruce, Tim, Dick or Damian ALONE can keep up with that???? PLEASE