Sharing Buttons don't reflect state from the server

[jkmassel]

Expected behavior

When going to Sharing > Sharing Buttons in a site, it should pull down and display the latest data from the server.

Actual behavior

It does not

Steps to reproduce the behavior

• Set up custom sharing settings in Calypso.
• View them in the app

Tested on iPhone 12, iOS 14.4, WPiOS 16.7b4

[startuptester]

Medium based on usability

Added to groundskeeping