It's interesting to read the various posts.
I possess both video microscopes and binocular styles as well depending upon the work being done. Out of all I usually grab a video unit first off.
It is nice to be able to have items that you need to grab when working by simply glancing down rather than having to pull yourself away from eyepieces every time. And views through eyepieces sometimes is like looking through a tunnel with my advancing optical issues. I also find that working with SMT technology you are viewing a planar work surface with both approaches anyway.
Working with a display screen takes a bit of practice to gain the experience in doing so. I have had no problems when working with SMT components down to 0201, TSSOP, etc. size.
As I commented to a person earlier today: It's all the personal preference of each user. Some people cannot live with a particular approach while others have no issue with it.
Greg