Still, they should have been classically trained. I mean, the jedi have their own personal archives, and must instruct their students in all branches of learning.
And if you want to get nitpicky, hell... even governor Tarkin of Eriadu, some industrialist planet official, was classically trained in warfare.
Jedi still weren't good generals, when you look at Obi Wan for instance. In LOE he leads by just going in and doing a few things and then something happens and he can move on. Basically the way he leads his army's is by just going in there with a group of soldiers and then constantly adapting to the situation. Nice but not going to work in a full scale battle.
Still i'm sure the Jedi would have learned a lot in the wars. And you can't put the general in any less of a position, when you don't have a traditional army to speak off. Besides the Jedi wouldn't agree to it, maybe they should but they wouldn't. They think they are to good and valuable to be send into battles by others. Not to mention that its going to be hard for others to judge the powers of the Jedi. Jedi are nice to have in an army, but you need them in high ranks because as foot soldiers they are worthless. You just need to hope that there are some good generals in the Jedi Order.
Which there wasn't. Anakin lead from the front, and made many mistakes, creating overblown casualties in Jedi Trail. Yoda's troops on Kashyyk are apparently schooled by morons, because they were dug in and ready for the enemy, and then suddenly get up and charge only to get slaughter. Geonosis- 'nough said.
The point is, the jedi don't think like tacticians. They don't realize that you have to think smart and play dirty. Revan understood this quite well, which is why he was able to defeat the Mandalorians at their own game. I doubt any PT jedi could have done this.