You’ve been writing code for 24 years and you don’t know that clickable links are a terminal emulator feature and not a Claude Code feature? Or that “markdown formatting” is just ansi escape codes, and possible with things other than React that don’t bring so many downsides?
Claude Code is able to hyperlink any kind of text, not just the native terminal emulator feature of hyperlinking anything starting with https://...
And your "it's just ANSI escape codes" is the weirdest take on any kind of software.
Correctly emitting the right escape codes at the right positions is arguably very much a Claude Code "feature", as it is on CC to do so.