It is certainly connected according to Tichelmann; besides the individual connection to a distributor, everything else would really be very exotic. The heat pump with 7-8KW will be enough for your house. Especially when considering solar and other gains. And with heat pumps, overdimensioned = really bad. (Especially with a fixed speed, like yours) Since the spread in the brine circuit according to your values is only 2 degrees, something must be flowing through; otherwise, it would be much higher and your pump would not achieve 15 minutes of runtime but would fail very quickly with an error. Presumably, 1-2 of the probes are not properly vented and the system is practically running on one. This can happen with Tichelmann and is basically more complicated to manage than if the circuits could be shut off individually for venting. Since your machine only knows full throttle, temperatures can drop quickly with such an "artificially" undersized source.
Out of interest, can you post an overview picture of the system? Is there a buffer? What does the pressure in the brine circuit say? Is there a vent at the highest point?
If you are interested in optimizing your system, you should introduce yourself. But don’t be disappointed; they will initially tear your system apart, but they are always willing to get the best out of it.