It looks to me like nothing happened to the tunnel at all when the Daedalus turned, more than 45 degrees, with thrusters. Voyager veered only slightly before bending its a new tunnel. I think we should have seen a bend in the tunnel or the tunnel staying parallel to the Daedalus if thruster turning were working on the tunnel.
Of course, slipstream and warp are probably apples and oranges, but the neat thing is it allows for the TOS reverse warp maneuver Kirk orders to escape the plasma torpedo, since maintaining the field works regardless of direction. Although, I think it would be appropriate that it would change the ship's performance depending on the ship's facing, but not in an arbitrary lower performance penalty. Don't get me wrong, going sideways should result in a huge strain and penalty, but going backwards might be no worse than reversing hull configuration for a narrow front and wide rear, then again the engines aren't made for running that direction so it may be strain too.