I'm not sure how much leg weight lifting will help a 20 minute ftp, without the engine (cardio) may not matter.
Anecdotally I increased the amount of leg presses and increased the weight over this winter. I believe that I am able to power through hills much better for 15-30 seconds on demand. After that my cardio again limits me.
The other issue is for normal fit mortals, its extremely difficult to add muscle mass without increasing weight. Therefore your likely to gain weight which may be a negative for long pulls up elevation or if one's real goal is watts/kg