Element search should understand matrix.to links

Your use case

What would you like to do?

People are likely to copy-paste a matrix.to URL and think that’s the identifier of the room they want to join, and then use the search function (<kbd>ctrl</kbd>+<kbd>K</kbd>) to find it.

Search should be smart enough to recognise a matrix.to link (such as https://matrix.to/#/#webrtc:matrix.org) and strip everything before the room ID to help the user find what they are looking.

Why would you like to do it?

Reduces prior knowledge needed to use the matrix ecosystem.

How would you like to achieve it?

Enhance search on Element web (and Android and iOS).

Have you considered any alternatives?

Improve matrix.to to reliably detect any running Element instance. Currently, it has no way of knowing that myrandomriot.example.com running in a random tab is actually an instance of Element that could be used to join the target of the matrix.to link.

Webmails are capable of registering with Firefox’s applications, maybe Element instances could do the same, for a matrixto content type.

Additional context

No response

[DC7IA]

Might be a dupe: #16066 #18237

At least very similar.

[HarHarLinks]

strip everything before the room ID

just a clarification, identifiers such as #element-dev:matrix.org that start with a # are aliases, while room IDs are random looking strings with a ! prefix and, depending on the room version(?) a server name postfix.