Tecalor 8.5 Air-Water Heat Pump: Warm water - not hot in the morning

It should not be set below 55 degrees.

And what are your experiences? Is it enough or not?

As already said: the heating engineer cannot know your habits. One showers with 36-degree warm water, another needs 42 degrees.
One stands under it for 10 minutes, the next only 2. All this influences the capacity of the storage tank. If it is not sufficient, then you could still change the temperature, for example from 60 to 65 degrees.

If I remember correctly, exactly 55°C is set (I was still in the heat pump menu yesterday and looked around a bit).

Basically, it has happened twice within 5 months that I wished to shower 2-3 minutes longer— but that was it.

It could become more problematic if 2 kids are involved...?

In other words: If it eventually leads to real "shower problems," you could increase the temperature and that would provide a first remedy?

If I remember correctly, exactly 55°C is set (I was still in the heat pump menu yesterday and took a little look around).

I don't know what kind of hot water storage tank you have. But with free-standing tanks, 55 degrees can vary a lot. Because the temperature sensor can measure either at the bottom, in the middle, or at the top. It depends on how much 55-degree water is in the tank.

For us, heating from 6 to 50 degrees (185 liters) would take 1 hour 17 minutes 7kw pump with heating element Maybe it can be better imagined that way

which memory do you have? How large is the heat exchanger?

And how much power does the heating element provide? Is the heating running at that moment.... That doesn't say anything yet.

It's quite simple:
To raise 1000 liters by one degree Celsius, 1.16 kWh are required. No transmission losses, cooling, or anything else taken into account.
Even if sufficient power is available, for example a heat exchanger can be the bottleneck.
Our heating system is very large dimensioned because of the pool. If the pool is not being heated, there is so much power available that unlimited hot water is provided.
We have a large buffer tank and draw the hot water via a fresh water station.

Starting with hot water at 5:00 AM is actually inconvenient. On average, that's pretty much the coldest time of day, meaning it naturally takes the longest and uses a lot of electricity. What I wonder is: why is the hot water even 'gone' at 5 AM, do you actually use it between 10 PM and 5 AM?

In the settings, there should be something like "Hot Water Power Summer/Winter," where you could maybe give it more 'gas.' By default, I believe it's set to 80%. If the hot water still regularly isn't enough, as others have said, the only help is to set the temperature higher.