I think Apollo was a product, not a cause. After Sputnik there was a massive push towards science and engineering in the US, and Apollo fell out of that. So did most of the computer industry.

There's very little evidence to suggest that Apollo contributed directly to electronic design. The first patent for single-chip microcircuitry was granted in 1958. Computers with modular logic were built around the same time. Putting the two together was an next obvious step, and would have happened anyway.

Apollo was mostly a PR exercise for US science and engineering. There may have been some spin-offs in materials science and - obviously - rocket science. But Apollo hasn't left much of a trace in computer science history.

In fact it's rarely mentioned at all. Projects like SAGE, which was the first generation US air defence network, were much more important. NASA did buy a big IBM System/360 for Apollo, but System/360 was already around, and IBM were more interested in selling it as a tool for airline bookings than managing a space program with it.