Stage monitoring has been part of my job for decades. Lots of artist use off the shelf IEM's like Shures. These IEM's don't have have some magic frequency curve that makes them more suitable for monitoring. In my digital mixing console I have EQ-presets for different IEM's and floor monitors (wedges). The target for these preset is 'high fidelity', comperable to what you target at home (just a bit more neutral and without bass boost). They are based of measurements and/or listening to music samples. On a big stage you can have a combination of different IEM's and stage monitors, and as a monitor mixer you need to be able to evaluate the sound of all of them in real time while you might not even have a copy of the IEM the artist is using. Not the time and place for 'circle of confusion' discussions, so these presets are a lifesaver.
While mixing monitors you also target high fidelity and not some deviating target that sounds crap to you but is supposed to work miracles on stage. (What is required is to take spillover of the FOH system and other instruments into account so the artist can clearly hear whats needed to perform optimally).
Example response of a budget single driver IEM you might use on stage, the Shure SE215:
View attachment 391669
(
https://www.rtings.com/headphones/reviews/shure/se215#test_377).
The SE425 has 2 drivers, thanks to the tweeter no dip in the highs but is twice the cost.