I am honestly not sure if this is an issue with
Mechanized Production itself or not.
I have noticed (on Xbox for reference) that the game seems to start to slow down and have issues (sometimes crashing) when there are a large number of things on the board it has to display. For whatever reason, it seems like non-creature permanents are the worst for this.
I had a game lock up on me the other day while playing the Cowl deck I have been mucking around with. Apparently the game didn't like me having like 12 clue tokens, Cowl, and a ton of other enchantments on the board. It sort of made me upset because I was winning when the game crashed, I couldn't get too mad though, because it was hilarious seeing my entire side of the board full, but only having like 2 actual creatures on the table.