I don't know what you mean by 'the debate'. I was responding directly to Zim's assertion that:
That just doesn't follow. How rich our owners are is irrelevant unless they're willing to put their considerable fortune at our disposal as Abramovic has done with Chelsea.we have more similar or more resources as we're owned by two billionaires, one of which of whom is richer than the Russian at Chelsea.
Whether we're making the most of the resources we do have is a different point. Would they deny him? It seems to me they're taking out from the club, not putting in. So I'd say yes, they probably would if Wenger wanted to go mental in the transfer market a la Chelsea or City. I don't think they'd put their money in to do that.