I don't know anything about tokens. Anthropic says Pro has "more usage*", Max has 5x or 20x "more usage*" than Pro. The link to "usage limits" says "determines how many messages you can send". Clearly no one is getting billed for tokens.

anthropic’s pricing is all based on token usage

https://platform.claude.com/docs/en/about-claude/pricing

So if you are generating more tokens, you are eating up your usage faster