if you Hibernate (or "suspend to disk") your data in the memory will be written to the swap, and then your computer will turn off. When you start it again you can choose another OS or distro.
If you boot to the same distro you suspended from, everything will go fine.
But if you choose another distro, which is using the same swap, it will find the saved image in the swap and try to boot from it, but when it's components and/or kernel is not the same as the other distro used, the system probably will crash.
I'm dual-booting 2 distros with the same swap, everything goes fine, but once I forgot I had hibernated and tried to boot the other distro, and the system crashed.