That may have been so at one time but paratroopers are now a couple of rungs down the ladder from elite.
Once you get beyond paras, the concept of elite is pretty academic. The Taliban did not exactly run away in fear when confronted by the four Navy SEALS whose stand is depicted in sole survivor. Then they took out a helicopter with sixteen SEALS inside instead of fleeing. Plus, it wasn’t commandos who held Bastogne against 15 German divisions - it was a single para division.