Not exactly a Steam OS expert, but based on my own observations:
Switching to desktop is indeed fast
Given you see the intro movie etc, you fully reboot when ‘returning’ to gaming mode. You get the boot movie too.
Speculation from my side: Gaming mode needs to be booted directly into, with desktop mode (a regular-ish Linux environment) existing ‘under’ the gaming mode UI. So switching to desktop mode shuts down gaming mode, whereas to get back into it you need to reboot.
Not exactly a Steam OS expert, but based on my own observations: