Sounds like a typical "step forward" (step backward) with modern tech.
It can be illuminating to have a temp gauge on the pipe going into the boiler and the one going out.
We have this on the system for solar heating our hot water in Frogland which enabled me to see which speed was best to set the pump at. No point in returning water at too high a temp back to the solar panel.
But of course it meant having a three speed pump.
But it switching itself completely off doesn't seem good. Shouldn't it just switch it off if it thinks you don't need the hot water any more? (i.e. the hot water to heat the rads and hot water in the tank, if you have a tank? And then switch itself back on once the temp has dropped?