That would just be silly. Not recommended and your system shouldn't operate that way if it is. Burning up the compressor? Maybe, possibility. this will lead to very high head pressure and could cause compressor failer. But compressors can and do take allot of abuse. so if it runs like that for a short time it probably will not kill the compressor.
That's a neat trick, turn off the HP before starting the HP. Well I guess you have to turn off something before you turn it on.
Except during defrost cycle, it is a bad idea to have the furnace and HP run at the same time.
If the furnace was running at the same time, and the HP doesn't have safeties to shut it down, the compressor would start to overheat.
Is just to relate it to how the head pressure increases in summer as the outdoor temp increases.
If a R22 system runs at 225 PSIG when its 95 outside. Think how much higher the pressure will get when its in heat mode with 13° air entering the smaller indoor coil.