Yes, your understanding is correct on both points.
Just be careful; there’s a weird bug in RStan (and hence ezStan) on Linux such that failing to constantly watch the csv file as watch_stan() does causes the forked processes to self-terminate. This reminds me I should post a call for help in figuring this one out.
EDIT: FYI it seems RStan 2.21 might have fixed the weird bug I mentioned above; I can’t seem to replicate it anymore.