stealthmouse

Completely agree. I have a range of wedges, and every one is different. I have a Sub 70 that I'm comfortably chipping from 20 feet to 80 yards, and I have a 64 Cleveland that I'm not comfortably hitting for any distance at all but can flop from 30 yards and drop it dead. If I try to work the ball from a distance with the Cleveland, certain death awaits. But from a sand trap? I get out of sand traps more than 9 times out of 10 on the first attempt, and I nearly always cover most of the distance to the pin. And that's with the 64. I wouldn't use ANY other wedge from the trap. 
I guess the point is like yours—it all depends on the player and the club.  

Though I don't disagree, I think the main reason people don't play them, at least with any skills, is because they are too busy trying to figure out how to eke another 3 yards out of their driver instead of how to chip a left bend around a tree to land on the green 30 yards away while not hitting any branches. 'Cause where's the fun in that? 

Completely agree. I have a range of wedges, and every one is different. I have a Sub 70 that I'm comfortably chipping from 20 feet to 80 yards, and I have a 64 Cleveland that I'm not comfortably hitting for any distance at all but can flop from 30 yards and drop it dead. If I try to work the ball from a distance with the Cleveland, certain death awaits. But from a sand trap? I get out of sand traps more than 9 times out of 10 on the first attempt, and I nearly always cover most of the distance to the pin. And that's with the 64. I wouldn't use ANY other wedge from the trap. 
I guess the point is like yours—it all depends on the player and the club.  

Not all 60* wedges are the same.  
I've carried a 60 on and off over the years, and found the sole and bounce are key for me.  I do a little less well with the Tom Watson Scoring System 60*, it doesn't have a lot of bounce.  The Maltby Design 60* I got from GolfWorks is much better.  It has a low bounce angle, but a wider sole, which increases the effective bounce.  I've found it works well in chipping and the like.  
That said, I've found I can generally get away with even a moderately high bounce 56* with no higher lofts in my bag.  I'm able to open the club to do what I wish to for shorter shots, and use a form of the Pelz clock theory for short to mid range pitches.
I expect my results may not apply to all.  😉
 

I've seen many posts where someone or other was quoted as saying that the average recreational player doesn't need such a lofted wedge.
Having experimented with the sixty since it was first introduced and eventually adopting it as a regular inclusion, I would opine that it depends on the sixty.
 
A low bounce sixty is for playing a somewhat skilled shot from forward in the stance.  
It's not a regular golf swing.  It has an exaggerated follow through and requires actually learning a specialty shot.  
I play the shot despite not being near scratch level, but I've played it for a long enough time to not get nervous or quit on it.
So maybe the low bounce sixty isn't for everybody.
 
A higher bounce sixty is played more like a regular wedge shot.
The ball is back in your stance.
Your hands are well in front, effectively delofting the club.
Once you get past the apprehension that you're swinging a little harder than you feel comfortable swinging for the length of the shot, it becomes just another club.
 
That's my take on the sixty.  If you don't play the sixty with bounce, it's mostly because it's not one of your 14 most needed clubs, not because it's particularly hard.
If you don't play the low bounce sixty, it's just because you're not interested in learning that shot or don't need it enough to worry about it.
Neither one is absolutely necessary to play with.  Either one can be played with practice.