+1. This is what I do too for my boars and badger brushes. The only exception is that I don’t soak my synthetic brushes. I just run those under warm water for a few seconds before loading it up with soap.It is extremely rare for me to shave without first taking a shower. I run the sink until the water is hot, then fill up a mug to soak the brush in while I shower.
Whether they are synthetic or boar, they soak just the same.