He visited the hospital (by appointment) on Friday, and they seem to have thought that his hand was (is) healing nicely, that it didn't seem to require a fresh dressing, and he was prescribed creams and antibiotics and painkillers, with instructions to contact the community nurse if necessary.
The pain has mostly eased, (replaced by an itch), but he lacks dexterity & strength in the hand that was burned (he said that while showering is now sort of okay, shaving remains an issue, - hence he has been using an electric shaver, rather than the manual razors he normally uses, and while zips and buttons are a bit easier, dressing is still a surprising challenge, as are shoelaces).
Nevertheless, having ascertained the sort of work he does - as a lawyer with the local authority, he admitted that it is mostly in front of a screen - they declined to furnish him with a further sick note (unless there is a fresh deterioration), which means that he will return to work tomorrow (to his disappointment), and that no further hospital appointments re scheduled (unless they become necessary).
Nevertheless, for all of that, or notwithstanding that, he will stay away from cooking for another few days; takeaways make sense for now. Besides, the Le Creuset pots and pans that I gifted him years ago, (well, he also inherited some from me from the time we lived together) are a bit heavy for healing hands that still lack full strength.