To put some numbers on their costs, one Soyuz launch is about $40-50 million. A falcon 9 is probably a bit more expensive - Soyuz rockets are extremely cheap despite not being reusable. If the launches are dedicated solely to Starlink and not sharing significant payload space, that is about $200 million in expenses for the year.

Assuming a 5 year working life before the satellites de-orbit, the satellites launched this year have $40 million of depreciation. Other satellites have likely been launched as well and are depreciating in orbit.

That suggests that Starlink needs about 2-4x the paying customer base as today (depending on working life of satellites and launch costs, etc.) to break even.

That's a lot better than I was expecting.

Edit - someone pointed out that the $44M figure was monthly, not annual. In that case, it might be profitable. Also, I am aware of all of the "reusable" arguments, but a SpaceX launch still retails for $67M, while a Soyuz launch is still a lot cheaper at retail. This includes the cost factors of re-usability. Most of the cost of a rocket launch is fuel, not the metal tube.