Hi
It'd be super neat if this module didn't grant a flat x3.4 robot lifespan bonus, but instead had something like two upgrade techs, one early-mid game priced one one (100r/100g, x20s) to double robot lifespan, and then another late-game priced one (250r/g/b/p, x45s) to increase robot lifespan by another 50% (for a total of 200%) or around 70% (for a total of 240, exactly matching your x3.4 multiplier).
Or, honestly, I think a 90% bonus and then a later 80% bonus, would be more suitable. That "lands" at x3.42, thus very close to your desired x3.4.