I asked around and that K1 remake is indeed happening for Go Skate Day.
In general pro skaters do not own any rights to the design of their pro shoes, unless they were smart enough to work that into their contract somehow, which I doubt any of them did, especially in the 90s. That's why Axion can make the Mariano and call it the Genesis. (Don't know why it's even called the Genesis, the Mariano shoe didn't come out until several seasons after Axion started.) That's why eS could make the eS One, the vulcanized Koston.
If they wanted to, I'm sure that eS could produce exact versions of the original Kostons, they just couldn't put Koston's name on it. They only reason they didn't do that with the Evant is because they're idiots, and the only reason they didn't do that with this one is because it's expensive to create a new sole mold, so they're just using the closest thing they have. (Which is funny because they definitely have current soles that would have matched the K3 knockoff better and they made a new ugly sole for it.)
I do not like the new eS at all and I hate to say it but I think I would rock/skate these K1 remakes out of nostalgia and be ashamed of myself the entire time.