If the house tends to overheat for whatever reason and you rely on cooling, then cooling via heat pump is not the right solution. In that case, I would invest in good shading, heat insulation, or a vacation. If you really need it very cool, you can't avoid a proper air conditioning system.
The cooling function via heat pump is a nice gimmick. We had no additional costs (no dew point monitor or ERR) and use the cooling function maybe 10 days a year to lower the temperature by 1-2 degrees or to maintain a max of 25°C. Much more doesn’t make sense because, like with a proper air conditioner, no moisture is removed. Our house remains relatively cool in summer thanks to the design, mass, shading, and [Kontrollierte-Wohnraumlüftung mit Wärmerückgewinnung], and we would manage well without cooling.
In short: it wouldn’t be worth €2500 to me. Since you are looking for cost savings, I wouldn’t invest in it. It can probably be retrofitted later, but in that case, better measures to avoid heat should have been taken.