In a one word answer: no, . . . experience does not trump training.
Combat experience IS training.
Interesting question, however.
Experienced soldiers who've seen combat vs. a well trained Seal or Delta Force team on their first mission? I'll take the Special Ops, since their training is so extensive, and the quality of the soldier is simply superb.
On the other hand, it takes a lot of training to overcome the experience of soldiers who've seen extensive combat. Some things aren't learned anywhere except the real thing.