Frankly if your paid-tier is so underwhelming that people would 'bunk off' and keep renewing free trials then I think your offering sucks.If you've never run a business in this sort of industry, you would be truly amazed at the lengths some people will go to just to save a few bucks.
At an early stage of one of my businesses, the founders were literally sleeping in shifts because a small group of people was creating new accounts 24/7 and trying to scrape our entire offering piece by piece to work around the caps on individual accounts. So apparently our offering was good enough for them to try to clone all of it and presumably set up a copycat site, yet by your argument it was also "underwhelming" because they didn't want to pay anything for it.