Definitely a thicker interlining/fusing and/or a thicker fabric.
I've experienced those same wrinkles on my Luxurious Fine White, but not on any of my oxfords.
These days, there are tools for almost everything. This tool we use allows us to set some parameters and run a promotion. We are using it for the first time.
But yes, if it behaves erratically, we can pull the plug on it at any time.