Finally used the Chypre Donkey Milk soap. It is great shave. The best post shave going around? Sorry I think Wholly Kaw Donkey is better. Still a quality soap. I smell a lot of pine in the scent, but my nose isn't the best. Glad I finally had a chance to try it.
Do test it like I do and see if you get different post shave results. Use something not all that impressive for a week straight (I usually use something like Tabac). Then use The Grooming Dept soap every day for a week, taking notes on how your skin feels after each shave as well as how it feels when you rinse in between passes. Once you've completed the week of shaves go back to your baseline soap (in my case Tabac) for another week of shaves then repeat the testing and note taking process with Wholly Kaw.
Both are outstanding tier one soaps but for me I noticed better post shave more quickly with Grooming Dept. It took me a couple extra days to get to the same point with Wholly Kaw proving to me that Grooming Dept had better post shave qualities. I'm not saying that both soaps won't get your skin to the same place with repeated shaves as they both will, just saying that I find Wholly Kaw to get me there a bit slower. I'd would happily use either of these soaps myself.
You just can't tell everything about a soap from one shave. For example, if I use Grooming Dept for three days then use something much more average I'll give the average soap a much higher rating than I should have since the residual slickness and moisturizing sticks around from the better soap for several more days. It's only when I start with a known baseline with both soaps that I can accurately compare one to another.
Feel free to give it a thorough test and report your results. The only part that sucks about it is that you have to use a lesser soap for the week prior to dry your skin back out.