That would have been very helpful for the Third Reich to move SS shock troops to hot spots and pull out the wounded.
First, as already mentioned, that would be subject to having air superiority, if not supremacy, in the area.
Second, yes, they could replace gliders, which the Germans did use in OTL, with the added bonus of being able to get away too - whence the use for medevac.
But, third, you'd need a veritable fleet of helicopters to make a meaningful contribution of shock troops - paratroopers, more likely, not SS - to "hot spots". It is more likely that the Germans would use them for the missions like the attack on Eben-Emael or the retrieval of Mussolini: very small operations.
Range also would be a problem. A glider depends on the range of the bomber towing it.
For the fans of Seelöwe, however, I can propose not the Kolibri but the Drachen, Fa 223, which did actually and historically make a test flight across the Channel in 1946 (or in 1945 but after the war anyway).
The Drachen could carry, IIRC, a 10-man squad in addition to its crew (with some of the men sitting on flimsy external seats attached to the outriggers!!!), or alternatively a Kubelwagen or a leFH, which, again, puts it in the same class as some of the actually used gliders and would make for something more than mere commando operations - again, if a veritable fleet is available and if the range is reasonable.