It's an inner sense of self-control and self-preservation. There are some points to consider.
First, I sense you are new to all this. Any expert stunter can wheelie almost any bike on the planet, even touring bikes and Harleys, but it's a specific type of skill, useless for getting through a set of corners or posting a decent lap time. Good for photo-ops and a thrill, though.
I never cared to learn to wheelie a bike and hold it up, but when doing my most serious dirt riding I learned to "loft" the front wheel over obstacles and use the throttle for weight distribution and balance, which is always important on loose/uneven surfaces as well as when jumping.
Good instincts tell us the front wheel needs to be on the ground to do any good. Some might argue that we see Marquez and Rossi, et. al., with the front end held high after a race win (like spiking the ball after a touchdown in American football), so long, lurid wheelies must needs be a part of the skill set of any good road racer.
Not so. Freddie Spencer, for example, was not known for pulling these kinds of wheelies and only an ignoramus would suggest or argue that Spencer is anything less than a genius road racer. Spencer's background from the age of four was dirt track and he excelled at this sport until he transitioned into road racing, where he also obviously excelled.
Rossi and Marquez were motocrossers and learned to wheelie along the way, so we see them doing it from time to time. That little stunt doesn't help them win roadraces but it looks great to the crowd, and if they can do it comfortably, why not? Of course there is always the odd cock-up, for example, more than one chap has done this after a race and gone over backwards in front of the cameras and a whole lot of people. Alvaro Bautista (Brno 2009) is an example.
All that said I have not found the ZX-10R (mine's a Gen 4) to be easy to wheelie, nor easy to loft the front. It certainly doesn't pop the front up as my 50 HP, 200 lb. CR250R used to do. Yes, I've lofted the front a few times inadvertently, maybe a few inches. I just turned over 5000 miles and this has happened maybe a half-dozen times at most.
In my case I've developed a very good sense of throttle control and the type of "whacking open" that the throttle requires to get this bike to wheelie is so much an anathema to the type of riding I do that I cannot do it, my brain screams "Stupid" at the thought and sensation of it.
That kind of throttle usage leads to backflips and high-sides and just has no place in road racing or sport riding if one wishes to avoid crashing. Far better to learn to brake to threshold, trail-brake, and get your corner exits figured out.
All that aside, the ZX-10R was not designed to stunt or wheelie and thus is not prone to do so. It is a roadracing/sport motorcycle. The wheelbase is longish, the gearing is tallish, and Kawasaki have done us a favor in this regard, at least those of us who put the bike to its intended purpose.
You want to wheelie, get an FZ-09 or something along those lines. I hope you know what you are doing, though.
To close, I recall an instance which I learned of first-hand, from the people involved. A youngish fellow had just landed a pretty cool job as a moto-journalist at one of the big national magazines, and wanted to know how to wheelie. One of the "old hands" told him "Just put it in first gear and whack the throttle wide open."
Now this is on a Ducati 996 supersport motorcycle.
The young chap, guileless, did EXACTLY as he was told, not realizing the advice was meant to be humorously facetious.
The shiny new test bike promptly snapped over on its back. Fortunately the rider was not significantly injured but it was a very embarrassing incident all round.
So maybe your brain is trying to tell you something.
Listen to it.