After @JR73 has helped me with the confirmation that his calipers are bigger than mine, I have now ordered the bigger ones for myself, too. This investment will pay off after the 4th new set of pads, which means round about four race weekends.
A few days later, the confirmation from Lotus Supplies came, that the brake pads need to be grinded before fitting into my "old" calipers. Maybe this was a misunderstanding between the technical side (Banks) and the commercial side (Lotus Supplies), but I'm not sure. I have fed the information back to them and they will decide on what to do with it.