That would make it a warm climate sport from the get-go. I know soccer can be played in the snow but how the shit do you expect it to catch on in places like Chicago where it gets, how do I put this, really buttfucking cold in the winter? Not to mention the snow.
Basketball and hockey are North America’s winter sports, and they have one thing in common - they are both typically played indoors. Fans tend to prefer not to freeze their royal Rastafarian nay-nays off to watch a sporting event, at least on a regular basis.
You can overcome the interest gap with early success and a void to fill. You can overcome it by, say, a bunch of soldiers bringing it home from WWI after playing it in the trenches or during truces, presumably while soldiers are busy telling their superiors to go fuck themselves (and that happened a LOT in WWI but mostly before the Doughboys arrived.)
A good POD involves Theodore Roosevelt deciding that football (the American variety - Tackle, Handegg, Gridiron, whatever you want to call it) is too dangerous and needs to be done away with. This leaves a gap, most likely filled with soccer and rugby. Soccer takes off big time when soldiers play it with their comrades in WWI. This would especially be increased if the US enters the war after the Lusitania, which maaaaaaay happen if, say, Taft has a health scare and America runs TR in 1912 and makes an exception to the whole two-term rule juuuuuuuuuust this once.
Of course, this has a shit-ton of repercussions unrelated to sports, but for purposes of sports, the big team sports would be baseball, soccer, rugby, basketball and hockey in no particular order, likely with baseball at the top at first and soccer being king now.