When I think of the par 3s on a golf course, I'd generally want to see some variety in them. I don't want four par threes that are all 170 yards. I'd much rather have a 130, a 160, a 190 and a 220 par three. And if they happen to also vary in direction, then great. Similarly with par 5s. I think it's fairly boring to have four par 5s all at 550. I'd rather see one at 495, one at 525, one at 550 and one at 580 (or something like that). So I guess I think of variety with par as viewing them collectively by par. So you might say a course has good variety of par 3s or good variety of par 4s or what have you, but I wouldn't say a course has good variety because it has par 3s, 4s, and 5s.
It's a funny story, but I had a course just miss being on the "Best New" Golf Digest list years ago. From the rater's comments, the biggest problem was that my par 3 holes were of similar length, with none over 200. Frankly, as a public course, I did that on purpose, because average length par 3 holes are fun for public and average players, while I knew from years of golf that no one likes long par 3's (from the middle tees at least). So, after that, for years I strove for the kind of balance you suggested, at 130,190, 210, and 240+ (with my longest back tee yardage once hitting 285, right after I had played the 8th at Oakmont, of similar yardage.)
As I aged and matured (?) as an architect and the "the older I get the better I used to play" knowledge crept in, I reverted to mostly mid length and short par 3 holes. I also tended to make par 3's easier, not harder as Ross once suggested was the norm. If form follows function, and the main function is to give the majority of players (presumably C and D players) it makes more sense, i.e., winning design awards isn't really a design function worth pursuing.
In fact, on par 3's it is quite possible to have unique holes of similar length depending wind direction, i.e. 160 into the wind and 160 downwind will use different clubs, and if I can reverse the cross winds on the other two holes, they might play differently anyway, even if with a similar club. I tended to ignore the "rule" that said longer holes ought to play with the wind and shorter ones against, because it often made holes play the same effective distance.
I still agree with you on the variety of par 5 lengths and wind orientation.