My bike had started using oil on trips. It turned out it was in fact coming from the breather hose to the airbox. I was using as much as a pint on a 500 mile trip. I always kept the oil in the middle between the lines.
My dealer thought it was the rotary breather or seal which have been known to fail. BUT, when I took it in they realized when my casing was replaced (starter) I now had the new style breather (no rotary breather).
They called Triumph who suggested running at the bottom line and see if it uses as much. My dealer said let him know after the next trip if it is better. Triumph claims it may be "seeking it's own level". My dealer said that if it still is using significant oil, he would pull the cover and see if the holes that allow the oil to fall down are clogged or maybe enlarge them. The new versions have a labyrinth like channel with holes that should allow the oil to fall and not blow out the breather hose. I'll know more after my trip to New Orleans this month.