Right Way Up:
As you climb indicated speed/mach will increase, the autopilot/flt directors will command an increasingly high rate of climb to cater for it. With a high rate of climb and with actual speed reducing fast, the increased indicated speed will take the aircraft into the overspeed protections. Just when you want to reduce pitch to normal levels to avoid the stall the aircrafts protection system will stop you from lowering the nose.
FCOM 1.27.30 ALTERNATE LAW
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High speed stability
Above VMO/MMO a nose up demand is introduced to avoid an excessive increase in speed.
The pilot can override this demand.
The high speed protection symbol (VMO + 4) disappears.
In addition, the overspeed warning (VMO + 4 or MMO + 0.006) remains available.
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Are you thinking on the possibility of an attentive movement of the crew to change the Laws, from Normal to ALT via switching off PRIM1 and SEC1?