Hi Don,
You are a lucky man to have a canam spyder (I have always wanted try one) and an ST1300!
Motor oil can make a difference to smooth gear changes.
After trials with Motul, Blu-Ray, and several others, I now only use Honda HP4 10-40w, on my 2006 ST1300. it has ester as a component detergent and is available, 4 litres to
your door via ebay filter, and crush gaskets incl for $70.
The oil topic is a big one, on the forum, and others will argue for and against the forementioned till blue in the face, this is only my 2 cents worth.
Also try to clean and spray lithium grease onto the shift linkage under the bike.,
hope this helps, good luck and happy riding.