The thing is that people's brains work by making connections, unconsciously and reflexively. So there is an instant response, which can then be tempered by rationalisation.
My instant response to 'Beavertown' is 'ick'. I think it's because it's beer (closely associated with the sort of bloke / lad who would use the term 'beaver' in a sexual, lascivious, vulgar way). Also something about 'Beavertown' and the poster design I saw, reads like a computer game, like 'town full of beavers, entered via drinking beer. Drink our beer, don your beer goggles and play hunt the beaver'. Yuck.
You can accuse my mind of vulgarity. I'd argue it has absorbed cultural influences. Either way, this implication is present - and clearly not only in my mind.
Given it exists, the makers and their advertisers have a choice about whether and how to reference that association. Their view may be that those of us responding with 'ick' are a small minority and don't overlap heavily with their target market and they'd probably be right. As it happens I do like interesting beer, have been to beer festivals and do notice and avoid stands with what I regard as puerile, sexually jokey names, because that's not an attitude I want to come face to face with.
Beavers as animals, as mini-cubs are not associated with beer. The animal does not live in towns. There's no direct association there. I'm fine with Belvoir cordial too.
Am delighted to read that the sexual reference is not prevalent in most posters' minds and that beavers the animals - which were not present in in the UK in the 90s but are now - are reclaiming their name.