You're right it's not specific to the 2016, but the 2017s had a small tweak to the KB which maybe helped a little with the failure rate, then again with the 2018 and 2019s. I think if you take it in, they will replace the 2016 KB with the 2017 one (the 2018 and 2019 are apparently incompatible despite being near identical) but just to be aware the '16 models were the worst affected. Flexgate, again, addressed in the 2018 (at least in as much as the ribbon cable was made longer) I'm not sure if you'd get this fix by default if you had to have the display assembly replaced (I would assume so?) Luckily your model is (the only one for some reason, despite all of them being affected) on a repair programme for this as well.
Known hardware issues aside, seems like a pretty good deal for this model, particularly as the 2016 came with the 256GB storage standard, which was made an upgrade for the 2017 model. I guess you're out of luck on Apple care, though often Apple are pretty good. Is the retailer John Lewis? If so that would definitely make me feel a lot better as they are usually good with repair or replacing an item that malfunctions.