For me, I consider the main reason for Starlink to exist is to make use of SpaceX launch capacity. SpaceX focus on assembly line production techniques and reusable rockets to bring down costs per launch only make sense if you have a lot of stuff to launch. With Starlink, they create their own demand.
SpaceX is probably very happy to have a "competitor" paying for launches. By itself, I have some doubts about the profitability of Starlink anyways.
SpaceX is really the only provider who can credibly pick up the former Soyuz business in the next few years. And they need _a lot_ more business. Especially once Starship's capacity becomes available. Right now, there's just not enough up-mass or down-mass demand.
They're at 250,000 customers now, so that's a run rate of $300M a year from Starlink. I fail to see how their cost of operations is above that if they were to stop launching additional satellites which means they have per-unit profitability pretty good already.
SpaceX is probably very happy to have a "competitor" paying for launches. By itself, I have some doubts about the profitability of Starlink anyways.