A lot of coins are quite close to the size of an APS-C sensor, and a lot of duplication and printing lenses are highly optimized for 1:1 magnification and have a dead-flat field.
You're also shooting at ISO 100, in manual focus, on a bellows or focusing helicoid, so nothing in a larger more expensive camera is needed. And you're diffraction limited at that magnification, so you don't need any pixel density higher than what's offered by something as old as a T2i.
Rebels became a kind-of "go-to" years ago because Canon had the best tethering software at the time, and used electronic first-curtain shutter in live-view. That's more common now, but Canon did it a lot sooner than other brands, and they never advertised the feature for some reason. Canons were also known for having less mirror slap for some reason (when it's not locked up), which is an advantage for macro.
Here's a thread on a popular coin forum describing a complete coin photography setup based around a very old Rebel for less than $400. It will produce coin world-class whole-coin images, and cannot be improved upon with a better camera. The only small upgrade would be some clever light-shaping.
Here's a photo of my setup which produced the image I posted previously.
View attachment 188978