. . . my evaluation at this point is the system needs more work and more satellites.
Operationally it works ok, but it is prone to short outages generically called "network issues" that are generally between 5 and 15 secs in length that cause awkward moments in on line meetings. Sometimes these outages come in clusters of 3 or 4 an hour and then the system will run for several hours with none. The terminal does keep track of these outages and you see up to 12 hrs of history. The main issue with Starlink today is logistics and support. There is no telephone support. It is all email based. They seem to be pretty quick to respond to emails but sometimes that doesn't work. On the logistics side, . . . if you live in heavily forested area, it may never work well enough to keep.
My experience is a little different than yours -- I have never experienced a "network issue", but will check the history next opportunity (it is a second home, so we aren't there often). Perhaps lattitude makes a difference, since the coverage is better as you travel north (to a point). We are at 46N. There are satellite tracker apps that will show how many birds are in view at any time (I think I linked one such app in a post above). After watching for a while, I found that we could always see at least 4 sats, typically 6 and sometimes 8. My conclusion is that, for our lattitude, there are plenty of sats already flying.
I do agree that getting a clear sky view is essential. In our case, even though the property is heavily covered with tall trees (a google earth view of our property shows virtually nothing but trees surrounding the house), putting the antenna on the roof was an easy solution. Ironically, we had more trouble getting a clear site to Dish satellites than to StarLink (the downside of being at a higher lattitude, especially for Dish, as opposed to DirectTV satellites). In any event, a ham-style antenna mast should provide the necessary sky view about anywhere.
Although getting support isn't as easy as with Dish/Direct (both of which will send an installer to handle everything, and which have tech support personnel a phone call away), as you point out, StarLink support is through their website (which you may not be able to reach if your StarLink isn't working). But, the quality of support is a head and shoulders better than what Dish/Direct provide -- no stupid questions, no stupid advice, etc.
All in all, I am really happy to have StarLink. Without it, I wouldn't be able to work from our lake house, as there is no other internet service available. With StarLink, no only is our internet access is as good for my business needs (the 30 ms latency isn't noticeable, but then I don't do gaming) as at our primary big city home, but it is MUCH better than what is available at every marina our boat has ever visited.
Coincidentally, I just received a solicitation from Starlink for "Premium" Service, which includes a much bigger antenna (and costs $2,500), and a monthly fee of $500. Speeds are supposed to be much higher, but so far I have not needed that.