Technically there really shouldn't be any reason why that wouldn't work or more specifically, not damage the ESC. I think Tekin's warnings about not using other sources for caps likely has more to do with them knowing how their own particular caps measure and that they meet a certain quality and performance guidelines. Using a larger than stock rated cap pack to lower ripple and increase storage voltage for peak amp draws is a somewhat common performance tweak, and theoretically, shouldn't do any harm if installed correctly.

If anyone knows any other reasons what they'd recommend against it I'd be most interested in hearing them.