We didn't stay here, just had lunch which was OK - the usual bread, chicken and vegetables with water or soft drinks and tea afterwards.
It is a pleaseant, large open room with local artefacts on the walls and a nice atmposphere. Lunch was fairly nice, nothing special but there were many cats crawling around and trying to get on top of the tables which was a nuisance.
Currently the only place offering accommodation and food in Zabid is the Zabid Tourism Resthouse. Usually it caters groups and drivers. We didn't have lunch there, instead we tasted freshly baked bread and herb pies from a street vendor in the old souq area of Zabid. The bread had a bit sour taste and it strongly reminded me Ethiopean cuisine, thus reflecting the influence of Africa in Tihama region. Both simply delicious and inexpensive!