^Agree with all the comments about the restaurant/terrace looking great.
RE: the restaurant exhaust vent issue (soot on the cladding), there's really an extraordinarily simple solution to this: have someone on the restaurant staff wash it a couple times a week with soapy water. Case closed.
Related side-note: many years ago, my grandparents used to run restaurants, and their mantra was: wash everything in/around the restaurant all the time: windows/glass, front entryway, doormats, etc. Nothing spells "this restaurant is about to go out of business soon" like the natural layer of grime that many restaurants allow to accumulate (and which accumulates extremely quickly in pretty much all restaurants). My grandfather was obsessed with the storefront glass looking crystal clear all the time; he was convinced that prospective customers had a subconscious sense of the health of the establishment based upon this. We also had to wash the cladding near the kitchen vent all the time, even though it was in a back and probably no one noticed.
Anyway, these guys have clearly cleaned this thing a couple of times already (since the photo upthread), and doing so makes it look fine. If they just keep up with it, it's a non-issue. When you see the soot start accumulating again, that's perhaps when you know it's time to dine elsewhere ; ).