IMO the archers could well be victorious... But the whole point of firearms is the extension of the use of the crossbow... Archers require way more weapon training to be proficient and effective than a firearm carrying man...

Being a good archer require skill, practice and some pyhsical strength... Using a musket require you to be able to stand, walk, run and see...

Is the musket any more or less effective than the crossbow?? Easier and faster to reload I imagine...