Ummm... makes you think, a fair achievment in my case
I think there is a mixture of "head swimming" and "tail swimming" in all fish.
If you take trout and salmon it can be seen that at slower speeds and when accelerating from a standstill they do indeed wag thier heads from side to side. Presumably this action produces the greatest amount of power at slow speed. But if you watch them swimming very fast the head doesn't move. You can see this when you spook a fish in shallow water, the initial swimming action is all bendy but once they get up to speed (in a matter of a few feet) they just use a very short but fast tail stroke.
The other place you can see this very clearly is when fish are running (not jumping) up weirs. These fish are moving forward through fast water (so in effect they are swimming as fast as they can) and their heads DO NOT move from side to side at all. All the propulsion comes from the very rapid short tail strokes. Only the tail and the rear third of the body moves from side to side. obviously in this situation moving the head and front of the body from side to side would increase the effective frontal area of the fish and make going forward harder.
The only tuna I've ever seen were in a tin so I don't know if they keep their heads still when going flat out
As an aside it is interesting to note that like fish all the fastest birds (falcons and swifts) have small, thin wings compared to the more ponderous birds (herons) yet nobody claims that birds fly with their heads
Andy