@skeletonpup@lgbtqia.space Reolink has at least one model with a microSD slot, the Argus 3 Pro. There is a cloud service, but it's not very useful anyway. You can activate the camera and then remove the network connection, and it should rely on the SD card from there on. I haven't personally tried this, so I don't know how convenient this is, but it can be made to meet your criteria.
Alternatively, Synology makes cameras that send video to a local NAS, and there's no reason to think it's going anywhere else.