Come one, tell me what I want to hear man!
Tell that to your monitors!
Seriously, you can always give it a try. If it works for you, it works for you. It's that simple.
But one of the main reasons it's not typically recommended by rote is that it can potentially introduce as many problems as it solves.
First, the chances that your monitors are providing a nice smooth bump in the mids that you can simply iron out mostly flat with a simple EQ curve are not large; it's response curve probably looks more like a roller coaster track than a simple hill. You may be able to get rid of some of the bumps or valleys with blanket EQ, but in doing so, you can potentially make some of the others worse. It's like trying to get rid of a bubble under a piece of plastic; you push it down and it doesn't go away, it just moves to another spot.
Second, it's entirely possible that much of your problem is not in the monitors themselves, but rather in your desk and room setup and acoustics. If that's the case, EQ is not going to necessarily help that much, because the room is going to remain the room no matter what you do with the EQ. Get your desk out of the corner if that's where it's at, keep your speakers a good foot or more off the wall, use some quality speaker pads under the speakers to de-couple them from your desk, and use thinks like bookshelves, drapes, or whatever you got to diffuse first reflections off of the walls in the spots where if there were a mirror there, you could see your monitors in the mirror from where you sit. You'd be amazed at how much these kinds of "treatments" can change the sound of your monitors and flatten them out far more effectively than EQ can.
There are other more esoteric reasons why many dislike using EQ for monitoring correction, but these are probably the main ones that relate to your situation.
Try it. If you don't already have a decent EQ, borrow one or buy one from a place where you have a week to try it out before you can return it for a refund if you wish. Maybe it will work OK for you - for a short while until your ears get better. But it's a gamble that's not guaranteed to work, and is usually not recommended is all I'm saying.
G.