When a feature-request is proposed, I think there should be a compelling justification offered. I always ask myself, "Why would the site be better if this feature were implemented?" Scanning your post, I see the following justification offered:
I think this would increase the number of answers on highly voted, therefore good, questions.
I actually think that would be extremely problematic, probably even to the point of undesirable.
Popular, well-asked questions already receive a lot of attention. People already answer those questions whenever they can, so they get plenty of answers. And if those answers are any good, they also already get plenty of rep from upvotes to their answer. There doesn't seem to be any reason to provide any more incentives to encourage users to answer those questions.
Really, what we need are incentives to get people to answer well-asked but unpopular questions. Those that are in less-trafficked tags, or those that concern difficult or otherwise hard-to-solve problems. Unfortunately, that is not this feature request, so I'm going to have to disagree.