Trim doesn't work like the control stick in a plane. Where control rods or control cables require certain amounts of force on them, it was a historical fact that you could trim yourself out of a dive where all other controls were locked up.
The controls on the trim were such that a smaller surface needed to be moved (thus less force) and they usually had different gears/ratios etc so that you needed many turns of a knob to get a little deflection (thus increasing pilot's ability to move the control even if in a high speed dive).
Using trim to get out of a compressed dive is not a cheat. It takes a lot longer than using normal controls, but it is a historical fact that said actions could be done.
Hell, the trim on the 109 wasn't even a trim tab. The ENTIRE stabilizer lifted and lowered via a mechanism in the leading edge that would angle the entire stabilizer up or down. Same for the 262.