I saw several points I wanted to comment on. First, Sims is not a running QB in the same vain as a Randall Cunningham or Steve Young but he (and AJ) are elusive enough to avoid a rush.
About the offensive line play: it has been better, but they did an ok job this season. As much as good o-line play is essential for a good QB, good QB play can help with O-line play as well. If a QB makes the right reads and makes a defense pay heavily for blitzing, the dogs will be called off. If the QB gets rid of the ball quickly, decisively and with authority, the chances of more pressure is lessened.
In addition, play calling variety would help a ton. Screens to the RBs out of the backfield, middle screens to the slot receiver, shovel passes, draws..break a few of those for big gains and that'll force aggressive d-linemen (like Nevis and Fairley) to stay honest and play their assignments instead of just pinning their ears back.
But to answer the original question, we can definitely expect more TOs. But because of inexperience, not over aggressiveness. I can't think of one QB that Coach Saban has ever had that he just let play, even Daunte' Culpepper when he was with the Dolphins. My armchair QB guess is that they will keep the reigns around whichever QB plays with the mindset of playing not to lose will ultimately lead you to wins.