I would say that keeping the see-thrus would depend on the distances you hunt at and on how well the rifle/scope combo fits you.
I use see-thrus on my muzzleloader because I keep my hunting distances short and I often hunt in low light conditions and I see a little better bare-eyed under those conditions. Plus the higher scope fits me well ( I guess I have a big head

).
Another consideration is how stout are those mounts? If they are cheap or weak looking, I'd upgrade to prevent problems down the road.