I would not, it is too hard to preserve. If you go this route you really need to go with full lab challenge testing which is time-consuming and costly.
I'm assuming you're asking about goat milk soap? You say soap in the title and lotion in your message -- it's confusing.
If you mean soap, there's no particular recipe that's better than the others. Make any KOH soap paste and substitute milk for the water normally used for making the paste. The paste should be diluted with water only, however, to reduce the chance of spoilage.
Dairy milk may darken the soap compared to the same recipe made with water. Also there may be some solids from the milk that can reduce the clarity of the diluted soap. These solids may also settle out over time.
I saw the discrepancy in the thread so I was thinking she meant lotion... Looks like we covered both.
What you do not want to do if making GM LS is use the GM as your dilution liquid only us it when making the paste.