Excellent questions. I suspect that any obligation for the “First Moon Flights” Club cards (no-down-payment reservations) vaporized about the time that Pan Am did.
https://airandspace.si.edu/stories/editorial/were-you-member-%E2%80%9Cfirst-moon-flights%E2%80%9D-club

My understanding is that TWA also took some reservations. They, too, would have disappeared with that airline.

However, I’m sure that new companies will be formed to provide similar services. They may not put card-holders or their heirs at the top of the list, but they probably can get on the list, especially since the prices will likely drop after the early birds help these companies make their return on investment.

From the article: “[Blue Origin] said ticket sales would begin sometime after the first in-house astronauts fly.”

The article is frustrating in that it gives no indication as to why Blue Origin is not able to do its next test as soon as it had expected after the May test. Having been in test engineering, I know that the reason can be virtually anything from a problem during the May test that is not being solved as quickly as expected to a problem getting something ready for the next test. It could be a problem internal to the company or it could be a delay due to a vendor.

Holding to a test schedule is difficult, because the nature of test planning and scheduling is to assume things work fairly well, but the reality is that unexpected problems rear their ugly heads, wreaking havoc like Godzilla in Tokyo, with all of management demanding to know when the test series is going to be done, because there is a schedule to keep or customers to mollify.

Virgin Galactic’s problems are even worse.

Is it just that they didn’t get the expected number of people signing up for the New Shepard flights?