Why are you even offering a compromise when they aren't interested? There's plenty of ways for an organization like Lichess to raise funds, the ones that don't claim your attention or fuck your privacy over. Even sponsored links to e.g. chess books as mentioned elsewhere 'leak' data, they contain a referral link, linking that user's visit of the website to (e.g.) their Amazon account. Plus it would be a pittance compared to what Amazon makes off it.

IF they need money they can open up a fundraiser or donation channel.