I'm 225 pounds and I ride wheels that I built myself 20 years ago using 32h deep v rims. I have not had any problems with my rims, but occasionally I have tire problems. Over that time period I've used Specialized and Michelin tires mostly. The tire sizes have changed but almost all of the tires actually measured about 25mm wide.
I'm gathering parts to build a new set of wheels and I'll probably try a slightly larger tire this time.
(I've also had problems with axles. My wheels are old enough that they are freewheel hubs and not freehubs, so the axles have a lot more bending stress and hence develop fatigue cracks. My new wheels will have freehub hubs so hopefully I will have fewer problems in the future.)