Do wired stickup cams suffer same recording delay as battery stickups

I’m debating installing another stickup cam but was wondering if the wired stickup cam will record everything that’s motion triggered the way a floodlight cam does without the lag in starting the recording. My experience with the battery powered doorbells and battery stickup cam is that they don’t pickup motion and start recording as quickly as the floodlight cam does and I’m wondering is this just because of those being wired vs battery powered or if it’s the floodlight cam just being better? It’s more work to install the wired stickup where I need it but if it will perform better than the battery one then that’s what I’ll do. Anyone have experience with both the wired and battery stickup cams in relation to the recording lag? Just don’t want it to be another camera that only catches people leaving. Thank you in advance for any help.