No. Run logs are local to the machine that ran the process and are never synced — only profiles, proxies, processes and schedules go to your account.
They are capped at 20 runs per process, oldest pruned, so the size is bounded by how many processes you keep rather than how long the app has been running. They live in the app's own data file, so they are included if you back that file up yourself.
They are capped at 20 runs per process, oldest pruned, so the size is bounded by how many processes you keep rather than how long the app has been running. They live in the app's own data file, so they are included if you back that file up yourself.