A change in average temperature (either direction) does not imply extreme temperature swings. My current apartment is much warmer than my previous apartment! I'm not dying, and the extreme temperatures at the oven or the cool parts of the apartment are not any more extreme than they were before. And no, I haven't ever noticed my oven having a dramatic impact on everything else in my apartment. So, no, this kind of appeal to intuition about the average temperature in an apartment does not help explain why 2degC across the globe means more than just.. a bit warmer temperature. And most certainly comparing it to something like body temperature (which tends to be very steady compared to air temperature) does not help at all.
A change in average temperature (either direction) does not imply extreme temperature swings. My current apartment is much warmer than my previous apartment! I'm not dying, and the extreme temperatures at the oven or the cool parts of the apartment are not any more extreme than they were before. And no, I haven't ever noticed my oven having a dramatic impact on everything else in my apartment. So, no, this kind of appeal to intuition about the average temperature in an apartment does not help explain why 2degC across the globe means more than just.. a bit warmer temperature. And most certainly comparing it to something like body temperature (which tends to be very steady compared to air temperature) does not help at all.