a bit belatedly, I've seen this style of bench vise, with or without the apron, in many 19th C books for all sorts of purposes. Joinery, boys carpentry, house carpenters, etc. The one unifying word seemed to be carpentry & joinery as opposed to furniture making but that could be just the chance of the author.
These were described as a popular vise for use when working on long stock (as mentioned), on wide stock and for jointing/forming edges rather than for working on tenons and such. Nicholson and Moxon discuss this in terms of house capentry and joinery. Trade catalogs feature classic european style two vise benches as Cabinet Makers benches. Go figure.
Thing is, in a large joiners shop or at a job site, there was often more than one bench: the joinery bench which might have been made on sight and the more familiar bench with two vises that was carted to the site. Just to wreck that theory, I have photos showing both ways if only I can find them in the current mess that is my work room.
All of which is to say, do what you want cause I think that there was no hard and fast rules about much of anything. Then as today I believe that people continued to work with whatever they became accustomed to working with. Me, I prefer a wide flat surface sans tool tray. My last was 3 feet wide, an old door and it lasted for 3 decades of all sorts of stuff.