You are right of course that they were not careful at all with his neck and that there could have been trauma there that could have been severely worsened. However, the guy sprinting there seeing he has swallowed his tongue, thus blocking his airways, and that he ACTED, that is what was great to see. You can't really expect that footballers should know exactly what to do.
I have been in two situations where I have had to give first aid. The most disturbing thing in both instances was that there were people already there doing absolutely nothing.