Personally (IMHO) it's a better match for the N-frame than the 10mm.
I do however agree with several of the positive attributes you point out with regard to the others. To each his own, I guess.
FWIW, in case it matters to you, I became a .41 user after moving back and forth between .357/10mm/.44/.45LC over the last 18-20 years for hunting. After careful consideration of MY needs and what it the .41 had to offer, I chose to consolidate my calibers to .41 mag and .38 spec/.357 mag. in wheelguns. Again, for me, I especially like the .41 in N-frame platforms.
Now, truth be told, I’m not a formal gamer anymore (where the 625 does shine…and the 610 isn’t a slouch) and now shoot mostly to hunt and informal (but frequent) target practice. I have owned 3 different 610s (two 6.5” and one 4”) as well as several other 10mms (1006, 1066, 1086, G-20, G29) and still own & shoot several of these (but I have sold off my 610’s in favor of keeping & shooting .41 Mags in the “.40 cal range”). I do still like my remaining 10mm’s a great deal, but mostly have returned to revolvers and like the .41 better than the 10mm in them. Now, besides .41 and 10mm, I shoot mostly .38/357…but the .41 is my go-to gun for handgun hunting. I guess FOR ME, the move “up” from a K/L frame to an N-frame made me want more than “just” a 10mm round exiting the bore – and the .41 was, for me, the natural choice.