In the Learjet series, the reason for the autopilot restrictions above .74/.78 isn't tuck, it's a reduction of stick force beyond that acceptable for certification. Tuck in the airplane is very mild, and begins to occur in the region of .85, but isn't a factor in normal operations.
Mach trim is a feature of the autopilot (AFCS) that uses pitch trim via secondary servo to counteract the increasing nosedown tendency, and is part of the autopilot function during high speed flight.
The learjet doesn't come anywhere near coffin corner. In fact, it's really rather insignificant for most turbojets, certainly most business jets. Nobody goes high enough.
Tuck was a fatal factor in a number of high speed diving tests of piston driven fighters during and following the second world war. Associated with tuck charactaristics were buzz and flutter regions; flutter being destructive, buzz being annoying and disconcerting, but generally not dangerous. However, also associated with buzz, which is pronounced when applying G's during recovery, is a hardening or resistance in the controls, also referred to as "freezing" of the controls. Control reversal or lock is also possible in aircraft without "nonreversible" controls. This is not found in the Learjet.
Aileron buzz may occur above .85 when a G load above 1.5 or so is applied; this is not dangerous, or particularly noticable generally, but can be come pronounced as the G load is increased.
Application of spoilers at speeds in excess of Mmo can create a significant nose-downpitching moment, will likely disconnect the autopilot. Stick forces have already become light enough to fall below certification standards once above .78, and above .83/.83, the aircraft can experience a rapid pitch down or departure with spoiler application during autopilot flight. Disconnecting the autopilot, the pilot is then faced with an out of trim situation in which control forces are very light and the aircraft is very touchy, and already in an overspeed condition. For that reason, during an overspeed, the pilot is not to deploy the spoilers.
Instead, power is reduced and the wings levelled, and if drag is required, the gear is extended while adjusting pitch trim. In the learjet in particular, a significant amount of trim is required to counteract spoiler application, and spoilers should never be applied while the autopilot is engaged.