I've used in the past a K98 and an M1 Garand.
I find the side mounted sling on the K98 a bit more difficult to carry through brush.
The aperture sight on the M1 can be difficult to use at dawn and dusk- its hard to see out of in low light.
I used my M1 last year and took a deer with it. its a very sturdy rifle that is VERY reliable. The only other downside to it I can think of is thaty ou NEED to check your zero after stripping it for cleaning, whereas a bolt action needs far less takedown for cleaning and the zero won't move nearly as much.

The military rifle that I would really desire for deer hunting? A sporterized and scoped Swedish M38 Mauser.