alt Hacker NewsI assume you're interested in magnetic core logic computers in general, not specifically Parametrons. In the late 1950s, NASA considered core-transistor logic for a spacecraft navigation computer due to its lower power consumption. The prototype version of the Apollo Guidance Computer (1962) used core-transistor logic. But improvements in transistors made core-transistor logic less appealing, not to mention the arrival of ICs. At the end of 1962, NASA decided to use ICs for the Apollo Guidance Computer and abandoned core-transistor logic. The updated AGC kept the core memory and core rope ROM of the earlier AGC, though.
Yes, those engineering discussions must have been interesting. By that point people had a fair amount of experience in Earth orbit but between the relative newness of space and the relative newness of computers there must have been significant new engineering. Maybe the ICBM programs had some lessons.