I don't think it matters either way - my mountain bike came with presta tubes (mavic xm117 rims) and the rims have an insert or sleeve I take out if I have to put a schrader in. You can also buy pumps that do both - some are automatic others have to be fiddled with first.

It's easier to put slime in schrader tubes

Presta's are easier to deflate.

It's easier to inflate a flat presta tube (courtesy of the thing that screws it to the rim). There is a way to put slime into presta tubes as well but a little fiddly.

Presta tubes are lighter - you can buy 125g ones and even sub 100g ones - shaving up to 200g or so off your bike weight if you're a weenie.

I like to carry a spare tube (whatever I've got) and a puncture kit as well just in case. I also carry the presta to schrader adapter, they're only a couple of dollars and small so why not.

Only thing is my air pressure gague doesn't work with prestas even when the little adapter is on, oh well I just check them with my floor pump before going out.