I don't have a strong opinion on your actual question, but I do have an unusual supplementary request.
I use various browser add-ons to block third-party resources of all kinds by default, including most embeds. I do this everywhere, not just on Cohost, and it results in most of the web being badly broken, which to me is a benefit not a drawback. I even do it on other social media sites written by people I know....
It would be helpful if Cohost degraded gracefully in this situation, which could be as simple as making sure the link is still visible somewhere and clickable even if the embed's iframe doesn't load or the third-party embed script doesn't run.
(Also, from a security and privacy perspective, pretty please do not run third party scripts in the site's top-level context. I'm aware that you already do this with Freshworks widgets and Simple Analytics - learning that sort of thing is one of the reasons breaking things is beneficial to me - but that's no reason to start pulling in scripts from Twitter, Google, Microsoft, etc. All of these social media companies are aware that the public has good reason to distrust them, and they all provide versions of their embed tags that only run their scripts in iframe contexts, although they push the versions that run in the top level context pretty hard.)
Sorry for this super technically dense post but I really do think this is something that more people should understand and demand from communication platforms. <3