Bet adjustment is actually about the management of risk and emotions. Pursuing after losses through bets increase can be potential danger, because a single wrong turn can erase you. Increasing after a win may feel safe, if you will be betting with the profit, yet it can as well backfire when the streak stop abruptly. From my view, I will prefer staying with consistent bets with slight adjustment, because stability provides better chances of lasting longer to avoid tilt. The concern is securing your bankroll at first, not going after fast swings.
It has long been proven that changing the bet size does not affect profitability, i.e. if your strategy is losing, you will still lose (the most striking example is Martingale). But if your strategy is winning, then by changing the bet size you can optimize the size of the win. Roughly speaking, if you do not bet the required size and are too cautious, the winnings will be less than they should be. The optimal bet size is a certain percentage of your deposit, ideally it should be adjusted after each loss/win. As a result, we come to what you wrote: as your bankroll increases, you need to increase the bet size and vice versa.