Seems like a logical addition along with attack animations a weapon uses, secondary mode stats, whether or not a weapon is usable with a shield, and speed rating for ranged weapons inside the detailed box that pops up (currently displays missile speed twice).
For the pragmatic:
The two bucklers are the only 0s shields.
Most shields are 1s. Heavy heater is definitely 1s, so I don't think the 7 weight rule above is up to date.
The 2s shields that I know of are steel shield, and heavy board shield, but I haven't tried all of them.