I played drums when I was I younger, yes I am an ol dawg, and stopped playing in the 80's when triggering drums started to get real popular, but I did have a couple of them at the time, so I sure can't say they are wrong, but I'll say when used in a way to make your kit sound better they can be a good part of the sound, and like now the over-all sound. It would have been so cool back in the 70's to have had these, especially touring, and the equipment trailer was like below freezing and then we had to set up again, and again...and weather reeks havoc on the gear.
As far as my own studio work back then, never used them, they weren't available and we mic'ed the drums. I mean, back in the 70's we used a kick and snare, and maybe an overhead live, and the studio engineers mic'ed the drums to fit what they were hearing to tape the music.
Since triggers have been available I have also seen other drummers abuse them, one case in point, a drummer I played (guitar) with in the late 80's wouldn't even replace his heads, even to the poit that he left broken heads on his kit and just moved the trigger to a solid place and kept right on hitting, this seemed to me a lack of care, interest in his drums....now if I could only figure out way to not replace a broken G string and still play.
In my present studio I have the purist, we mic up to suite the drummer, I mix to suite the recording. I have drummers come in and use triggers, etc I have an a/c plug-in right by the set-up area, I dont have drumagog or software like that, never have used it, sounds interesting though. If a drummer uses a triggered kit, its pretty easy for me, a stereo in and we are ready to go, there is a difference in what I hear, can do with the recording, but if the client is happy, so am I...so to me it really doesn't matter, its the player that has to be satisfied in the end...not me.
And all I got to say about keyboards... oh my ackin' back...having helped B3 players haul their organs around for sixteen years (back when) I have grown to appreciate....digital. That's 'bout it for me.
If it works, use it.