I did read that inkjet printers need to regularly clean their cartridges so that their tip don't dry. The common recommendation therefore is to not remove the power supply, which I'm not doing. What I'm missing in common recommendations is the distinction between removing power supply and switching the device off. For instance, in this answer the user says
I suggest to not unplug the printer's power cable. Most devices will do a self-test, wasting lots of ink, when the power was interrupted. The cost of the power consumption in stand-by mode, is nothing compared to the cost of the ink that's wasted during avoidable self-tests.
I do own a HP OfficeJet and wonder whether these printers (and generally other inkjet printers aswell, if this is generally applyable) can safely be shut off (power is still connected). Does the printer still automatically wake up and clean its cartridges? I have never seen my printer wake up automatically to clean itself after I switched it off. In other words, will the cartridges be damaged by shutting the printer off by drying out, instead of just letting it go into automatic standby?