Years ago, there used to be 'strength set' competitions, which I believe was squat, curl and bench press.
I can see why purists or specialists might not think it's a good idea to have both, but personally I've nothing against it. For one thing, some of those cross-fit people are just incredible (vids of women overhead squatting their bodyweight for 15 reps spring to mind). Secondly, from a spectator point of view it's a bit of variety and interest.
The strict press is a great exercise, and a list that most people still relate to more than a bench press, I think. The Olympic Committee were just very slow to adapt to lifters exploiting a loophole in the rules.
To be honest - and with the greatest respect to any lifters on here - I'd still rather see a decent overhead press than someone in an exoskeleton bench pressing through what appears to be a 4" range of motion. The latter's just not very visually exciting, at least to me.
230 strict press @ 220; bodyweight+187 X 4 dips @ 180; 403 front squat @ 210; 10 000 push-ups.
Ignoring irrelevant credentials since I was 17.