Yes. For example, a 50% quality small forge gives +5 fire and +5 smithing. These bonuses help increase the quality of items made there. If the small forge was only 25% quality, it would only give around +2 fire and +2 smithing, meaning lower quality items will be made there.
Note that this bit only applies to the actual forge and its specializations(armorer, toolmaker, nailmaker)- all other workshop specializations lack skill bonuses as far as I know.
As for the glazing materials(glass, paper) on buildings, you do need a glazing specialist on the construction team. Otherwise, I've found it reduces quality while increasing build time.
Is there a glazing specialist? As far as I can tell, even though some buildings allow optional "glazing", there is no actual glazing skill.
It's one of many things that isn't quite clear in the help pages.
Whenever I try to use glazing, usually glass and lead or paper and lead, it seems to add anywhere from nothing to maybe 2% increase in quality. I haven't seen a drop in quality, though.
One thing I've noticed is that lead has a +20 masonry bonus, as well as a +15 glazing bonus. Except you can't use lead in place of bricks, so when does that masonry bonus apply? When it's used for glazing? If so, you'd think there would be a dramatic increase in quality if you use lead for glazing; but, so far, my results have been far from dramatic when trying to use glazing.
Now, as for workshops that offer no skill bonuses: I honestly don't know if the building quality matters for those. Some folks say that they should be made in houses or workshops of high quality, but maybe it doesn't actually matter.
edit: oops, I was wrong. There is actually a glazing skill. However, there doesn't appear to be a specialist in it.
edit again: I think glazing is something that hasn't been completely implemented yet, and is probably a waste of time and resources.