The different temperatures are not a problem because they're difficult to achieve or anything. Most devices that need heat would have a pretty wide tolerance. The main problem is efficiency, when that heat is provided by a heat pump.

If you have underfloor heating, that can typically work with water temperatures as low as just 30°C. If you have a heat pump that needs to heat up water to 30°C, with outside temperature being at about 0°C (realistic winter temperature here, and it makes the calculation easy), then a good heat pump typically reaches a CoP of 4 (sometimes even slightly more).
If you instead would use an internal heat grid of 65°C (a pretty typical practical maximum of conventional heat pumps, and a pretty typical temperature for a heat pump powered clothes dryer to run at), then that CoP typically drops to only just about 2.
So, if you let your heat pump run at 65°C and use a heat exchanger to run your heating off of it at 30°C, you use nearly twice as much electricity for every watt of heat you add to your house compared to just running the heat pump at 30°C and using the output directly.

Typically the heating in a home is the application that demands the most amount of heat by far. But it's also the application that is usually the most tolerant to low temperatures (especially if you have underfloor heating or forced airflow radiators). So you save a huge amount of electricity by having the circulating water temperature as low as possible, but that also makes that heat not very useful for most other devices (a clothes dryer operating at only 30°C would be highly ineffective).

Heat grids work great if they are supplied by industrial waste heat. But if the heat has to come from a heat pump they're a terrible idea because of how much heat pump efficiency decreases with increasing temperature delta.