They visited my house when I was just looking for a quote. The quotes were these large custom contracts with all the information which we would iterate a few times on.
I can imaging these days just going to a website, finding my roof, selection my option and getting a quote in real time. Maybe they would even let different installers all bid for the job, who knows. The website would have detailed information and information if I want it. Only if I did an initial downpayment would someone come out to confirm it could be installed. Someone like this could be able to drive the install cost down.
Or maybe "groupon deals" where if you and 4 other neighbors on your block all buy solar it is 15% cheaper or something. That would be one way to shift the marketing and sales to the consumer and not the installer.
If I had to guess, the door-to-door folks are probably lead gen companies that sell leads to solar installers. The economics work out largely because solar installations are such a big ticket item that good leads can demand a nice sum. As a thought exercise, Amazon will pay in the range of 5% to affiliates. If you buy a $100 pair of shoes on Amazon, that will net the affiliate $5. If a solar lead gen gets the same rate, then a single $30k system will earn them $1500. So that salesman only needs to sell a few systems per month to cover salary. Hence the door-to-door.
Also, it's worth mentioning that the residential solar market is pretty cutthroat. Quite a few companies have recently filed for bankruptcy. Part of the reason lead gen and marketing costs are so high is because these companies are fighting tooth and nail for customers. I am pretty sure most installers would love to cut back on that spending, but without it their business would collapse.
Asking this as a layman.
Page 22 of the report[1] estimates sales and marketing/customer acquisition for residential solar to be 12% of the price, and says Vivint and Sunrun report it as 17% and 22%, so I think your numbers are a bit high. I also doubt that cost will actually fall- if anything it might rise, since advertising pays for itself. As costs drop it becomes more important to advertise the low costs!
[1] https://www.greentechmedia.com/articles/read/costs-to-acquir...
After that cost is reduced, there may be room for innovation in reducing install costs by bundling solar with roof replacement, or something similar.
I'm not so sure that transmission losses themselves are a huge win, since only about 5% of power goes to transmission and distribution.
However, if storage + solar allows the utilities to avoid transmission and distribution capital upgrades, that's a much larger chunk of the cost of electricity, about 36% according to the latest numbers and rising every year.