Given that the results of research change with the wind, I did some experimentation - that applies to me, and only to me.
Let me state first that in some ways minor muscle pulls have been one of the most common ways I get hurt. )I'm not even sure most athletes would say "hurt", because the effects usually wear off, as far as I can tell, after a few minutes.) This is probably because I am not a very flexible person, but I like to do some sports where flexibility is a substantial benefit.
When doing an activity (like some ice skating moves, and some kayak moves) that (for me) involves stretches, I find I am less likely to feel minor muscle pulls if I do static stretches first. If the activity involves fairly strong dynamic stretches, I also think it helps me to do a few reasonably gentle dynamic stretches first. But stretches don't really do much for me if I do them in a cold environment, such as in many ice rink buildings.
Perhaps some things like this depend on your body, and are part of learning how not to injure your personal self, rather than being applicable to everyone? If so, you may need to experiment.