Not how I plumbed in my system.
I pump from they cylinder on the hot side, and from the F&E on the cold side.
Pump was 100 quid in 2007 when I fitted it, still going.
No need for thermal mixers, just set the 'tap' to same place (easy as it is a lever) and scrub away.
Using a relatively low DHW temperature gets rid of the scolding risk at root as well.
I like to keep things simple.