Recently searched things appear in Recent searches with a delay

### Steps to reproduce

1. Where are you starting? What can you see?
-I hit Ctrl+K or click on the Search button to open the search modal
2. What do you click?
-I clear my recent searches and then search for a room/user/space
3. More steps…
-I join the room/DM/space and quickly open the search modal again
-The thing I've joined doesn't appear in my Recent searches
-If I wait a bit or close the search modal and open it again, the thing shows up in my Recent searches

### Outcome

#### What did you expect?
Recent searches to update immediately.
#### What happened instead?
There's a certain delay between opening something I've searched for and it appearing in my Recent searches.

@t3chguy says it's likely a case of having to wait for the server to echo the recent search being persisted

### Operating system

Windows 10 Home 21H1

### Browser information

Firefox 97.0.1 (64-bit)

### URL for webapp

https://develop.element.io/

### Application version

Element version: 9a17a61809a9-react-b789d252b9cd-js-ac4e504b8d40 Olm version: 3.2.8

### Homeserver

matrix.org

### Will you send logs?

No