If you "zoom in" to the same spot where you saw the ripple,you should be able to see it on the Rigol,if is really there.
You can't do this,or its equivalent, with the B&K,because you don't have a delayed timebase.
Have you tried looking at the B&K trace with the same time/cm setting,& no input.
If the ripple is caused by the 'scope itself,you should see it.
Looking at the tube label,I would guess mid 1980s to mid 1990s.
The older labels were different,& would be showing some signs of age,but your label is still "new-looking,which is characteristic of the labels of that era.