For sure, they do. Just think about the Fediverse instances, which use Cloudflare and/or Google Analytics? They make it for the big player very easy to track you through the whole internet. Or Administrators who use a Gmail or Microsoft email address as contact, forcing users to send mails to tracking companies, when they have a question.
The easier it becomes to contribute a node to Fediverse, the higher the chance of idiots setting up their own instance, adding tracking from unnecessary providers. Either because they're stupid and think they know what they're doing, or because they listen to cranks who praise GAFAM like it's the best the web has ever had to offer.