I would say leave it alone. In my entire life I think I've seen just a handful a people who treated the wooden deck on a trailer, and most of the time it was for looks rather than preservation of the wood. I've also seen a few that were painted, but again it was done for the appearance value.
I just redecked my 16ft trailer that I bought used about 11 yrs ago, and it's got a 1998 date of manufacture on the nameplate. I'm pretty sure the PT deck on it was original, so it lasted 22 yrs with NO other treatment. Really, it could have gone longer but I went ahead and replaced it because a couple boards had been broken where the supporting angle joists underneath them were bent upwards from getting hung up on a stump.
If you do put anything on the wood, don't use something that will make it slick when it gets wet, that could be a bit unsafe.