I can understand your position and I don't inherently disagree. I do believe algebraic function exists logically in our minds, which I guess his position is to try and reform this conceptually. But the way I interpret this is him suggesting an alternative thesis for algebraic function. In fact, somewhere on his website, he digs into this with a 10 minute video that explains a bit of new math that revolves around his 1x1=2 narrative.
While I'm not going to try and sell any drone ideas to Raytheon or Boeing, or tell any universities they are teaching illogical math, I do believe math is merely a language, and there is room for alternatives to the status quo.
I would wonder- has his math already been postulated in the past? I assume it has been done at some point and decided it was the "inappropriate method" for the demands of the time. However in a free society, we would be free to practice any math, including experimental.
I was really curious how one would best replicate his mathematics via programming logic? What would applications operating on his system of logic be like?