In a meteorological utopia all screen thermometers would be aspirated. I have often noticed, on taking the psychrometer out of the screen for a spin in the shade of a large bush, how much the screen temperature exceeds the dry-bulb of the psychrometer. On a calm sunny day this effect is apparent even in winter. I think the effect is well known but the authorities prefer to keep quiet about it because the cost and difficulty of equipping all screens with fans would be prohibitive.. It doesn't really matter - consistency of measurement over long periods is what counts even if the figures are "wrong".
As for Tuesday's temperatures I think they will be just a little lower than Monday's here in the SE but higher further west. Our case-hardening will not be put to the test. The humidity will be more trying. It's difficult at first sight to understand how the dewpoint can be higher than the surrounding sea surface temperature. Possibly a very shallow evapotranspiration effect?
Tudor Hughes, Warlingham, NE Surrey, 557 ft, 170 m.