the IP5306 (I2C Version) can be programmed to e.g. go to sleep after 8,16,32 and 64 seconds (8sec, 32sec modes has been reported by nanovna users).
It can be programmed as well to stay on. One can buy as well version, which is already pre-programmed for always on. I assume, IP5303 is not much different.
The always on IP5306 Information:
Well, so all those working "bad clones" with IP5306 have probably IP5306_CK soldered.