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For consistency, the Start time should be a multiple of the Turn time, in my opinion.
For example:
M: 12+4+1 (Start = 3 * Turn)
L: 24+6+1 (Start = 4 * Turn) - similar to a 5-6 minute standard SOD timer
XL: 40+8+1 (Start = 5 * Turn) - based on the fact that 60+8+1 is similar to an 8-9 minute standard SOD timer.
Making the Battle time longer than 1 minute seems unreasonable; it's better to increase the Start time, so people can reasonably accumulate time for non-trivial battles. Otherwise, there is a risk that battles like "group of harpies against a horde of zombies" will become widespread again. I would like to remind you that the third parameter of the timer (Battle time) is the time allocated for EACH battle.