I think the obvious answer is to increase the dose of tirz. If you have a lot of weight to lose trying to stay on low doses seems counterproductive. But if you really do not want to increase the dose yet, you can always do a top up dose of 1-2mg if extra hungry, most likely it will work, and then wait and see . If a week later the same thing happens after a dose of 5mg then you have a definite answer that increasing the dose is a good idea and will work. The odds of getting significant gut side effects are low - usually it is difficult to be really hungry and nauseous at the same time, and that is the most common side effect.
Without knowing anything about your age or start weight I cannot say for certain that being on tirzepatide is beneficial for long term health, but it is for most people and more so if older, sicker or more obese. So in general being on it at full doses is helpful rather than harmful to long term health, then staying on low doses in the absence of side effects, while being hungry does not have a lot going for it.