I assumed you were referring to the die grinder (or the weird die grinder like stone that attaches to an angle grinder) rather than the bearing puller. Confusing, lol.
FWIW, a die grinder spins at >2.5x the speed of an angle grinder. This can make a difference as to what you can do with it and the results you can get, along with all the smaller bits you can use it in. (Particularly if using it as a redneck turning tool). Pneumatic die grinders are dirty cheap. But if you want a cheap electric die grinder on a budget, your options are less attractive.
I've the cheap electric die grinder that looks like the generic version of the entry level 1/4 HP Makita. The one that looks exactly like a blue bottle with a black neck. It is a bit underpowered and the motor is unbalanced. The bit spins true in the collet, but the entire neck of the grinder vibrates due to the motor, so it is highly suboptimal with most bits other than cutoff discs. I find a cheap trim router works much better and has plenty of power. A generic (HF or the like) hand/trim router costs about the same as this cheapo die grinder, it has the same collet size (can be had in 1/4" or 6mm), it takes the same bits, and it spins at exactly the same RPM as a die grinder (~ 27-28K rpm). But this cheapo trim router has power for days and the motor is very smooth and balanced. It just doesn't have the reach of the traditionally shaped slender-necked die grinder. So if you want a perfect stubby electric die grinder, you might want to give it a try. Works so well as a "giant dremel" that I have two of them, one setup with a steel guard for cutoff discs, and one for the other bits. I got the one in 6mm, so I can use cheap import carbide burrs and hard points. I don't think they're much good as trim routers, though, due to the shoddy trim router attachments. I would spend more for a trim router.
In the US, branded electric die grinders start at over $100.00 for the really weak Makita one, for some reason. The better part of $200 by the time you get into the full-powered ones. Just not that common of a tool, I guess. You can buy top brand angle grinders for peanuts, in comparison.