I have the service manual you need. I'd upload it except my connection is too crap, especially with the weather today. I can try to upload the sections you need though..
This is from the genuine honda service manual for the 2004-2007 TRX400FA fourtrax rancher AT, TRX400FGA fourtrax rancher AT PGScape.
output.pdf
In older units where there is a bit of damage, synthetic oil leaks by easier than conventional. If everything is in perfect shape synthetic should lubricate better.
I know some guys swear by cleaning out your oil with seafoam. You add it to the oil in the recommended amounts and run it x number of hours then do an oil change.