On everything other than iOS (desktop and iPad), I either use Twitter in the browser or it is reasonable to just have links open in the main browser. Using Twitter in Safari on iOS (on the phone, to distinguish it from iPadOS), you end up with kind of the reverse problem of needing to fish around for Twitter in tabs. If Safari on iOS had a better "save web app"/site-specific browser story, then this could possibly remedy some of these problems (or if they implemented some of the basic ideas I described, like storing history).