That's provoked a question, although I may have missed the answer in the previous discussion. Is there a balance between the electronics on a vehicle those needed for the mission versus electronics that can remain terrestrially bound? I would imagine that there are various advantages to carry out computing on Earth, e.g. reducing weight and not having all your eggs in a basket that is on the other side of the solar system.
Absolutely; this is a classic example of a systems design problem, one hardly unique to space systems.
Engineering can be defined as the art of making tradeoffs. Tradeoffs between hardware and software, between reliability, schedule, power, maintainability, cost, and many other criteria.
Production scale is an important factor, because you have to trade off the cost of NRE (non-recurring engineering, i.e., design and testing) vs the incremental costs of production. My last employer makes literally billions of chips for mobile phones, so they hire a lot of engineers to eke out every last fraction of a penny in production costs. This usually means cutting chip area to the bare minimum, to put as much in software as possible, and to automate production to the greatest possible extent.
Space systems are at the other extreme; they're built in such small quantities that the NRE dominates the bottom line and there's little need to cost-reduce either the design or the production line. Indeed, there's a strong bias against doing this because of the real or perceived risk of decreased reliability.
Sometimes you can't decide on the basis of hard data, such as when you're doing something for the very first time, so you have to follow your experience-driven instincts.