Is there any elasticity to that demand, i.e., has SpaceX priced launches to only attract 12 so far this year, or would they still only attract that many if they lowered the price?
The satellite service business is much larger than the launch business and this is why SpaceX is attempting to enter.
Little immediate impact. Of course, if launch gets way cheaper, the things you do to maximize longevity, fault-tolerance, and mass efficiency start to matter less...
That is, payloads are expensive in part because launch is expensive.
Small sats have become so powerful, that on a SpaceX Rideshare you can deploy basically a whole constellation in one shot potentially. Most sats today are no longer that large and heavy that you have dedicated launches.
Many of their launches are government, both domestic and foreign.
SpaceX has not reduced the price 'that much' in the last couple of years. They were already the cheapest on the market and opted for more profit, so they could have better cashflow when going into Starship and Starlink.
What also has to be considered is that even that 12 is a pretty large number. Large rockets usually didn't fly that at the rate SpaceX flies them.
The sat market is slow the respond, 4 years are very little in it. Hopefully people will come up with more great ideas how to use the capability SpaceX offers.