After buffalo hunting with my open sighted Mauser 404J back in '78 and then wanting to develop loads using lighter jacketed and cast bullets, I fitted a red dot sight on the Mauser. Back then the only such sight available was the Single Point Occluded Eye Gunsight (OEGS). This type of sight is long obsolete but I did hunt deer and feral goats with it.
The red dot sights today do not have some of the issues associated with the occluded eye design aspect but in other respects use in the field is similar.

The RD sight is quick to obtain the target and good for running shots on game. They seem to be reasonably ruggedized and reliable.

Issue I had with my sight and others report similar with modern RD sights is size of the dot for work on targets and lack of magnification not just for open country shooting but also to aid threading shots through scrub, trees etc. I ultimately replaced my sight with a 2x EER Leupold scope which still allows for fast target acquisition and also for more precise shooting in scrub and forest conditions. Can use such a scope with both eyes open or one shut when doing paper target work.

I have used a modern red dot sight on the range when the owner was struggling to shoot the rifle in. Got it shot in for him easy enough and it seemed quite good to use but we were only at 50m so lack of magnification wasn't an issue. I imagine for close range stuff the RD sight would be okay but for 375 calibre rifle I would think longer range shooting would require a more precision sighting arrangement?