ML was always the one who took initiative throughout their relationship. Eventually, he grew tired and then he asked for break up. However, facing the breakup, FL remained unfazed and still lived her life as usual, like whether there was ML or not had no effect for her.

Instead it was ML who felt lonely after their separation and again, he's the one who took initiative to get back together.

Idk, I don't think it's a good idea for them to get back together. Aside from having dogs that got along well, they indeed didn't have the same interest. Eventually, ML would get tired again with FL's indifference attitude since relationship worked both ways and it just wouldn't work out if only one side who took the initiative.