What would actually happen in conversation would be that I’d say something like “‘Woke’ means being aware of injustice. Are you saying that you’re in favor of injustice, or just that you’re in favor of ignoring it?” The conversation may still not go anywhere useful, but it’s not going to go where you’re imagining.
If the business owner feels that the cost isn’t justified for their particular business, then they won’t do it. Problem solved.
Anyone complaining that some particular businesses did decide to provide that access isn’t complaining about the cost.

While that is true, some of the time, hatred is a feeling one has towards others and therefore (like all feelings) is not something that can be dictated by the recipient.
Expressing that hatred and attempting to spread it to others can’t exactly be dictated by the recipients, either. But it sure as hell can and should be fought back against. Not just taken for granted as ‘oh well, some categories of people are just going to be loudly publicly hated (and occasionally beaten up or murdered as a result), and they’ll just have to put up with it.’

I never held that position. I disagree with that definition.

I only consider a subset of the latter to be ‘woke’ behavior.
Sure reads to me like it’s your definition. You’re talking about what you consider to be ‘woke’, not just what you think others use the word for.

In the context of this hypo, it means your decision to include vegan offerings appears progressive but doesn’t actually accomplish any good.
It accomplishes at least two sorts of good:
More people get to eat what they want to eat.
The business in question gets to make more money.
Now if the people complaining that it’s “woke” will come straight out and say that those are both bad things, then they might be able to claim that, under whatever name, it’s a bad thing that the restaurant’s offering vegan food. But if you ask them ‘should a Free Independent American be able to decide what he [probably sic] wants to eat for dinner?’ and ‘should an American Capitalist Business be able to decide what it wants to sell based on the demand of the Free Market?’ – they’re almost certainly going to say Of Course to both of those things.
So when they claim that they think the restaurant shouldn’t do those things – yes, they’re lying. Either they’re lying about Freedom and Capitalism, or they’re lying about the restaurant. Personally, I think it’s some of both.