The ideal or compromise solution  is to let the smaller players have a very slow option to withdraw that costs less but also isnt very convenient.   Some people do get stuck with tiny amounts in their wallet and arent liquid enough to be moving larger amounts at that moment in their budgets.   Obviously there is a large bias to people with big wallets who dont care because we are talking pocket fluff in costs to them.
  The reason to consider the smaller players is they can represent the largest growth sector generally, the very new to BTC generally will be trying sites out with small amounts. I do think Bitcoin has to emphasize the bit to continue in its success and growth.
   Stake is a long term site, for small amounts you are mostly going to be fine to keep it there for the occasional bet.  Some would tell you to throw it on a bet, either you win and have more or zero left to worry about.   BTC itself is fine, some people feel the need to zero all their accounts partly from fear but BTC is doing ok so I would say not to be rushing to do that tbh