If I were working my way to a professional flying career, I would definitely log both. And keep them either in separate columns in my paper logbook or have the ability to separate them out in my electronic one.
Having seen these kinds of discussions before, there's bound to be at least one person who will tell you that the airlines really don't care about the 10 NM cross country you made 50 times to he airport next door to grab a burger. That's true. An airline, like any employer, is typically interested in quality not quantity. But that's not a reason to avoid logging it (or at least being able to easily retrieve the totals).
Let's suppose you've got that CFI job at a small FBO. The operator also runs a very small 135 cargo operation. The pilot who usually does the trips gets another job. The owner, knowing you and trusting you, wants you to take over the flights. He's not worried about the quality of your flying time — he's satisfied with your skills already. He just cares that the FAA says that he's allowed to use you. Unfortunately, all you've logged is the 50+ NM type and there just isn't enough of those. On the other hand, if you counted those short burger flights...