Yah, but
1. When you don't know enough to take initiative (or shoulder some of the burden of mental management - a job in its own right), then you should be volunteering to be in the trenches doing the stuff you can, even if it means being directed by the more knowledgeable person. Not just check out and make excuses.
2. At the time Lorelai was upset about the sink, they were rebuilding/fixing up the inn. I don't know about some inn-specific items that may have needed to be addressed in the build, but surely there were basic general contracting issues Sookie could have handled.
Or, you know, just show up, because if you own part of a business, you should learn the ins snd outs. Npi.