He's a recreational cyclist. He doesn't need, or want, to concentrate on a few narrow performace
parameters to the exclusion of several others not relevant to racing. Lifting has several benefits.
Increases in bone density, general overall condition that can translate into other areas be it
tag football or moving to a new address. I find it improves my mood.
Just as an example, I know a guy that likes cycling vacations, but he is very busy. He gets 2 trips to
the gym in, jogs or uses an exercycle to warm up, and then does a weight lifting routine.
What the guy asked for was to "adding general fitness while improving cycling"