Doesn't matter if warm or hot because all you're doing is setting baseline fuel pressure. What matters is the regulator port be at atmospheric pressure so as not to be influenced by manifold vacuum. That happens with the engine off or the hose disconnected when it's running.
Now it's true with the engine running and the port at atmosphere the mixture will shift richer (after all the differential is more than 36 psi then) until the O2 sensor brings it back into line but that's not important because you're going to reconnect the hose when finished anyway. Besides, you're only concerned with fuel pressure when doing this, not mixture.
NA engines use the Type B system. The spec for that is 41 psi which, again not coincidently, falls at the midpoint of the TSRM spec of 38 to 44 psi engine or hose off. Keep in mind I'm talking about stock motors here.