In addition to having a big impact on the medium and industry (alongside Watchmen), TDKR is still an evergreen title that casuals outside the niche of diehards is more likely to read than other graphic novels. More than just the niche audience has been exposed to Batman kicking Superman's ass.
Yes, people like Batman for multiple reasons. But I'm not interested in some hypothetical alternate timeline where he isnt the cash cow, because in actual reality he is. It started with TDKR, and has evolved to feature stuff like JLU and Injustice or parts of Snyder's DCEU where Superman gets to be made evil or brainwashed and Batman has to stand against him. And often gets to be the incorruptible one with the moral high ground. It's not all there is, but it's occasionally recurring enough to be noticeable
So since it continues off and on to this day, yeah: Batman fans calling the idea silly always comes across as a bit hypocritical.
The reality of Bat-God situations doesn't really matter past a certain point. The intentions of "Tower of Babel" are one thing, lots of fanboys still came away thinking Batman could beat the JL after it. It's not the only story of Waid's that's guilty of this (see also: Wonder Woman after Kingdom Come). Once meme culture takes off, reality and nuance fall by the wayside.