That's only if you actually hit the record button and are actively recording to the memory card, but if you're using the DSLR as a passthrough, it works all day. I have done it w/ my Sony a6500 and it works really well.
Sony cameras work (as mentioned below) but nearly every mirrorless or dslr I’ve used does this by default or can be set up to by switching to continuous AF modes. This is best done while connected to a power source, as the motors drain battery faster.
