Just tested it again.
At 35k, 382 TAS, M .58 the flaps do nothing whatsoever.
I then took it to 40k and dived it past M .72 in a long shallow dive, but experienced no Mach tuck effect. Lots of shaking and controls stiffened up, but no increase in dive angle. Can anyone confirm that Mach tucking and compressibility effects are actually modeled in the game, or perhaps only superficially simulated as loss of control authority?