RE: BS products from massive corporations, I’m with you for sure.
RE: soap is soap - there are lots of different types of soap. Each type of fat has differing amounts of loric acid, oleic acid, linoleic acid, etc. Lard makes a soap that’s a good firmness (not too soft, not too hard), not very cleansing (so it won’t dry your skin out, but also won’t do much hard cleaning), very conditioning, not very bubbly, but very creamy. Other fats/oils yield much different results. Soaps with a lot of coconut oil are very cleansing, so they’ll dry your skin out. Your soap sounds like it could be used daily without any problems.
So, I disagree that soap is soap. Soap that’s made specifically for shaving typically has a lot of added stearic acid, because no natural fats have enough natural stearic acid to produce a really stable lather that won’t dissipate during the shave. Most use a lot of beef tallow, but there are also a lot of vegan options.
Use the password reset feature on their accounts, maybe?