If you look online, you'll see lots of serious people saying that paper surgical masks will not help protect you from wildfire smoke. However, I'm suspicious that this largely reflects a kind of signaling perspective and doesn't consider how effective they might be or under what circumstances and in what ways they might help.
That is, let's say surgical masks are 20% as good as N95 respirators which are 50% as good as P100 respirators at filtering out wildfire smoke (these numbers are 100% fabricated, although I think the ordering is right), then very responsible people will tell you don't wear a surgical mask because it won't help much, and if someone who didn't understand the details just heard "oh, surgical mask is good enough" they might wear one in a situation that lead to them being injured. Compare the lack of nuance in masking guidelines for COVID-19 purposes, and I think you get why I think something like this is going on.
But if a surgical mask was all you had, how much would it help? Enough to be worth, say, wearing one when you otherwise wouldn't wear one in order to help reduce smoke inhalation? Enough to be worth wearing indoors as part of a defense-in-depth strategy combined with HEPA air filtration?