Basically staff travel is so good these days, that most of us travel full fare with other airlines. There are lots of reasons that it has become unworkable for most people, but the predominant one is that the company has been handing out "onload" priorities to new management staff that are sufficiently high that they bump everyone else. Before I left there were apparently some 3,000 of these "management" people. Being bumped on a 30 year long service trip, by someone who joined last week, leaves a sour taste.
That's not staff travel. That's the company officially needing to move staff and is called duty travel. Mostly they won't bump others, but yes, for the pilots it's "must fly".