The cottonwood hasn't been too stinky so far. I also got a limb trimmed off an oak (it was shading the veggie patch) and that oak was pretty strong-smelling too--and I've been around a lot of oak while it was cut down. It was also a bit stringy as I split it (the oak--haven't touched any cottonwood yet) so I wonder if it's a different species than the few I've done already. Or if splitting it within an hour of being cut makes things different.
I filled up one wood rack just with the upper branches of one cottonwood. This yard is going to be SO full of woodracks...
With oak, many do not like the smell of red oak but most like white oak. There are many types of oak trees (someone told me there are like 50 types) but mainly you'll find the ones with leaf that pointed and others that are more rounded. The pointed are in the red oak family and are the strong smellers. The rounded are the white oaks. One curious thing is that deer love acorns....from white oaks mainly. They will eat some red oak acorns but only after the whites are gone. However, another curious thing is that every fall we see deer picking up the acorns from a pin oak (red) and that is a bit puzzling.
Splitting within an hour or a month won't make much difference. We do all our cutting from December through February and then do all the splitting after snow melt. This year we did not have to wait a bit for snow melt. lol