Should you stop asking for likes
Absolutely not! You need to stop asking anyone and everyone to like your page. Start targeting those who will naturally find your content relevant. You’ll see a smaller fan base, yet more engagement and a better conversion rate. You’ll reach the RIGHT people.
Long-term, these fans will, through their actions on and interaction with your page help drive your following organically. Add in quality social networking and you’ll see results.
And as far as the argument that having friends like your page as a show of support? Rather than asking them to like the page (unless your content is relevant to them), ask them to like a post, comment on one, or share a post now and again. The increased engagement is a big indication to Facebook that the content has value. It will get shown more to your fans (that well targeted audience).
That interaction will also expose your content to a bigger audience, likely earning more targeted likes.
Take the time to do this right and we can tell you effective reach and engagement will easily be greater than 15-20%.
And if you have already amassed a fan base? Purge it! (Not sure how? Ask us.)