I would look to commence works once I had spoken to the supplier and confirmed the unit that has been ordered.
As I said mine was just speculation, I've spent a lot of time around commercial kitchens, they are rarely bigger than 20a per phase.
However on a recent night club referb, we installed 6x single phase armoured supplies 2.5mm 3 core, 32a rotarys, 20a / 10ka mcb's. All specced by the aircon company.
4 days before opening the ac units arrive and they are daikin units, double height. I raised my concerns with the site manager that there was no way they were 20A. Turns out they were 37.8A max demand.
The result was chaos as all 6 supplies had to be re run. Expensive mistake on their behalf