For those interested, you can use utilise Privacy Redirect (for Firefox[0] and Chrome[1]) to automatically redirect YouTube links to any Invidious instances. It also includes redirects for other OSS clients such as Nitter for Twitter, Bibliogram for Instagram, and others.
* The only issue I've had is that it sometimes refuses to play some videos because the media cannot be loaded. Not really sure why that is, but I'm willing to accept that over data collection.
[0] https://addons.mozilla.org/en-GB/firefox/addon/privacy-redir...
[1] https://chrome.google.com/webstore/detail/privacy-redirect/p...