This has been requested before but in a (maybe) confusing way and didn’t get much attention. I’ll try to do better.
Add the ability for the browser extension and the desktop app to “talk” with one another so they would lock/unlock together.
When we unlock the browser extension, the desktop app would unlock as well (assuming it is already running) and, conversely, when the desktop app locks because, say, the system is put to sleep, the browser extension would lock too.
It seems weird (read hazardous) to me that the browser extension be still unlocked when the computer wakes from sleep. Am I paranoid?