If you keep playing until you don't have any money then yes, it needs to stop playing when you have been more on a lucky streak than what can be expected, and there will still be certain chances to have 3 time a 1 in 6 rolls which will make you on a luck streak, and there are still probability that certain sequences will keep you above, but the chances of the same number happening again decrease exponentially after each time, but there will be always more 1 every 6 rolls at some point than others, and on the average it's the house edge.
My point is that you're not guaranteed to have a lucky streak. And if you do - then what? Do you stop playing for the rest of your life or do you still play later hoping for another lucky streak? The probabilities are against the player regardless of any strategies. That's how gambling works and randomness is a powerful tool for casinos to stay profitable while keeping the game reasonably fair (meaning a fairly consistent chance of losing) for the players.
If you consider that playing 1000 times will always cost you money with the house edge then why do you even play ? 
Gambling is entertainment and a win is a bonus.