+1
I don't recall Moe ever poking a woman in the eye. Certainly not in a scene like that, like it was a joke.
As for the movies being poorly made and underfunded, it depends what period you are looking at. The thirties movies have a lot of exteriors and extras and look decently budgeted for comedy shorts. Del Lord and Charlie Chase are good comedy directors and their movies are well paced. Jules White is a little more heavy handed, but his dependence on violent slapstick didn't go overboard until the forties. In the forties budgets were a little less, but the shorts didn't get real cheap-jack until sometime after 1945, particularly when Shemp replaced Curly.
1930s Three Stooges shorts actually have better budgets than Laurel and Hardy sound shorts, which have much smaller casts. You don't need huge budgets to make good slapstick shorts, just expert performers, and directors who know how to stage it.
As for the trailer, you can't really tell much from a trailer as you would expect they would include the best parts. But some of it does not look right and rather strange, but we are missing context so who knows for sure.