Every provider offers a way to make a machine cheaper while you are not using it. They fall into four behaviours. Disk only: the machine is destroyed and its disk is kept, so files survive and processes do not. Disk and memory: RAM is saved, so the agent's process tree can resume mid-task. Warm memory: the machine is frozen in the host's RAM, which resumes fastest and usually keeps billing for memory. Delete: the disk goes too.
The vocabulary is not standardised. InstaBox calls a memory-preserving freeze “pause” and a power-off “stop”. Agent 37 has both, as sleep and stop. boxd has three parked states plus destroy. Lizard's stop deletes the disk. Boat's API calls a stopped sandbox archived, and its homepage still says “pause billing” even though the docs state there is no pause.
Memory-preserving resume is usually best-effort. Sandboxer restores memory only if a matching machine is free within two minutes; InstaBox reports processesPreserved false when it cold-boots instead; Agent 37 says memory usually survives a wake but not always. Anything that must outlive a pause belongs in a file.