I use those wet lubes for casual shooting but not for hunting. My reason is they will dry out and in a short amount of time cause a rust ring in your bore. For instance I had my .40 loaded for turkey hunting with a patch saturated with a wet lube, didn't shoot my rifle, so I left it loaded. On the 3rd day I shot it and when I cleaned the rifle there was a rust ring right where the ball sits. 3 days is an extreme. I had the same thing happen on another rifle but it took longer than 3 days.
For deer hunting my first shot is with a bore butter lubed patch and ball. My rifle is sighted for this load and if loaded into a clean barrel it will not cause that rust ring.
My .40 is a dedicated turkey rifle, legal in my state. The first shot is with a canola oil lubed patch and ball. I have experienced migration to the powder charge but this is how I fixed the problem. I pour my powder charge into the clean barrel, followed by a layer of wasp nest torn into small pieces to absorb the lube, then I seat the lubed patch and ball. Started doing this about 5 years ago with no lube migration so far.
A lot of shooting went into testing those 2 loads listed because I was looking for a lube that would not cause rust in my rifles, and both those lubes were tested by me and I trust them.