I like 100% genuine Neetsfoot Oil for hunting lube - or Track's mink oil - more of a grease that turns to liquid as soon as you touch the patch. Both load easily if the patch is appropriate, that is thick enough, for the load.
Both load more easily for me after the first shot, than for the fist one in the clean, but oiled bore. My hutning rifle, the 14 gauge does not care if water or oil based lube is used- same sight picture.
Be aware that in most rifles, when changing lubes, the point of impact also changes, just as it does with heavier or softer loads.
You may discover heavier charges and/or greased or oiled patches makes your rifle shoot higher- or maybe even lower. - or left or right due to different oscillations or vibrations of the barrel itself. You must test this out at a range to make sure you know where your hunting load shoots.