I never think about gambling this way, like swapping from one game to the other after having a good win from one because of the chance of winning being reduced after a good first win. I always follow with the logic and intention of playing on the particular game I was lucky with until I decide to close for the day because that’s where I believe my luck is on, that particular day.
Yes, unless you feel that the game is profitable, but it's a different story. For example after getting a big x1000 multiplier, the next game will no longer feel profitable. Gradually, your balance will decrease if you continue to stay in that game. Therefore, I moved on to take advantage of other games that were fresher.