The thing that holds me back from this is always the battery. I want to have my battery removed so that it doesn't eventually become a time bomb, but it's a pain on modern phones and I'm not even sure if they boot without. The mobile hardware reuse space can suck for hobbyists.
Most phones can have battery removed somewhat destructively, but without affecting the rest of the phone. Generally, as long as you keep the phone plugged in, the battery should be safe virtually indefinitely - the battery management on board will keep it in a state where its a constant charge which means the chemistry will be stable.
I think if you're considering re-harvesting old devices to use for hosting and get far enough down your list to get to phones then you've likely got enough constant maintenance costs in overseeing things that the additional worry of fire risk just isn't worth it.