I have lived in shared households, on my own and in relationships and in a few nations.
When I lived in Britain, my British women house mates would say I did nothing and could not cook. When I moved to Scandinavia, it was completely the opposite, and it was not me that changed.
In Belgium, I heard exactly the same things as in Britain and I assumed it was the same. My my date had been gossiping with her friends about this man who kept his place clean and tidy without a maid and could quickly throw a meal together when needed.
Even in house shares, I had British women convinced I could not do anything and the continental women see me the oposite way.
I successfully hid an SO's presents from her by hiding them in the cleaning cupboard. She thought she cleaned regularly, so would not have thought I could hide anything from her in there, no more than you could hide my present in the driving seat of the car.
I went to marriage counselling, and I must say the Danish attitude to emotional labour was basically to call it nonsense. As I did the housework physically, it was not taken seriously that my then wife did it on the emotional level.
I experienced this also when I was being genuinely cared for. I was exhausted from long hours long commute, cooking and cleaning. Then we got some money and ai really wanted a dishwasher. My SO was being caring and suggested I should but myself time off, which is what I thought the diswasher was. I then found out she thought she did pretty much all the dishwashing (this was really bizarre). We agreed a week long trial, in whch I would sto "helping" her with the dishes and if she was doing them all OK we woudl not buy the dishwasher. Three days later, there was barely a clean item in the kitchen and I bought a dishwasher. It saved me lots of time.
I think men exaggerate and genuinely fool themselves in how sexually capable they are, how strong and how brave. My impression is the UK is there is double pressure on women, there is little pride in housework, but lots of shame in not doing it.