Local Run is not able to synch with a remote project. It not only "loses" changes, but it also loses changes made for a whole day's worth of work! Luckily, I saved the project on remote (suspecting the bug), so I managed to save it.
I understand the potential issue of having local run open when the project is open in the browser, but I waited more than 5 minutes before opening local run after having closed the project on the browser.
And can't be slowness of connection as my line is 10Gbps.
Please give some TLC to LocalRun: it's a game changer... ;)