If they run on nodejs, yes. Edge server actions also have cold start although it is a lot faster (negligible cold start)

To configure the runtime of the server action, set the runtime of the page on which the server action is run

Thank you @joulev, I'm in a bit of a limbo as there is a tradeoff - I want the server action to run with the Edge runtime to achieve the lower cold start but am I right in assuming that opts the whole page out of static rendering?

That’s correct. Can’t have the best of both worlds (yet)

Technically, you can configure the runtime to edge and use unstable_cache to manually cache your page queries, making the performance almost as good as a static page