Agree with the first part, but news ought to still quote tweets while it exists, otherwise they cannot denounce many of the wrong things going on in there. I quote the Guardian's email I received this week (even if I prefer quoting to embedding, as tweets get deleted, and embeds brings traffic to the site):

Dear reader, Yesterday we announced that we will no longer post on any official Guardian editorial accounts on the social media site X (formerly Twitter). We think that the benefits of being on X are now outweighed by the negatives and that resources could be better used promoting our content elsewhere. This is something we have been considering for a while given the often disturbing content promoted or found on the platform. The US presidential election campaign served only to underline what we have considered for a long time: that X is a toxic media platform and that its owner, Elon Musk, has been able to use its influence to shape political discourse. X users will still be able to share our articles, and the nature of live news reporting means we will still occasionally embed content from X within our article pages. Our reporters will also be able to carry on using the site for newsgathering purposes, just as they use other social networks in which we don’t officially engage. Social media can be an important tool for news organisations and help us to reach new audiences but, at this point, X now plays a diminished role in promoting our work. Our journalism is available and open to all on our website and we would prefer people to come to theguardian.com and support our work there. You can also enjoy our journalism on the Guardian app and discover new pieces via our brilliant set of regular newsletters. Thankfully, we can do this because our business model doesn’t rely on viral content tailored to the whims of the social media giants’ algorithms – instead we’re funded directly by our readers.

Maybe not quote, but embed. They should still quote noteworthy things on there, but don't force us to interact with the site

Closed it. Viva la France!

write their newspapers that they would cancel their subscriptions if the articles quoted ... tweets.

Given the former and future president of the USA's habit of announcing policies there, that seems unworkable.