If you have to claim the token and the value of the token is less than gas, no one will claim it. If team members received tokens they will dump on the market and that will keep the price down, which will prevent people from claiming. The main issue though is, why do people want the token? What does it do? What is the utility? I could mint a million fart tokens right now and send them to you but they wouldn't be worth anything.
If nobody claims, then the total amount stays low (and constant) and therefore the price correlates a demand. What prevents people from claiming is the increase in price (over time, total token amount, or both) while claiming is regulated by the GAS fees. The utility is simple, and it is to rise its price together with a demand. The price increase is driven by the GAS fees, which means that it should be very rare to find a token sold below the price that claimers paid for.
I know, the design is too simple, and the success is implied by the hype... It was only an idea. Like I said, I can make this token in one day and finish the whole project in a few weeks without any team. The rest is just promotion, which may cost more than whatever you'd gain by selling it on exchanges... which means, it needs a strong community.