I am very fortunate in having Gary about 25 minutes away from me in Wilton, CT and in his being willing to spend 2 hours with me every weekend. The progress I've made with him is amazing (of course, there is also an amazingly long way to go).
What I would say is that if someone as inflexible as I am can start to do squat snatches and cleans, then pretty much anyone can. Maybe not with incredibly high weights but high enough for conditioning purposes.
Frankly, there is no way I would want to get stuck in that position (the photo is of Waldemar Baszanowski, Olympic gold medalist in 1964 and 1968). At least with a squat you don't risk a groin rupture or something!