a well insulated house may be perhaps 24 to 28 degrees the loft space with all day solar gain may be mid 30s to 50 degrees so heat tranfer would be very negative
Insulation works both ways, and I expect you'd find a heat gradient established so there wasn't a huge transfer down to the extent that you'd notice at head height in a room. The biggest meaningful effect of a loft hatch would be if one opened a door or window elsewhere and a breeze was blowing from a direction where the roof profile formed an aerofoil making the loft slightly lower pressure, increasing the draw of air from the house into the loft.
That said, loft hatches aren't typically very big so the major limitation to cooling effect would be the amount of air that could be moved through the opening. Opening more doors and windows on the prevailing windward side would help but overall one would probably be better forgetting the loft and trying to arrange a through draught of air, in at the bottom on the windward side and out at the top on the leeward
A well sealed uninsulated roof
Most lofts aren't; well ventilated loft spaces dispel moisture buildup before it condenses, so tend to be how they're constructed
Yes indeed, at 1800 it was 26°C in my office yesterday and 37°C in the loft.
Indeed, and I suspect that opening the loft hatch and letting the breeze through would have done relatively little to counter N square metres of roof insolating at the tulle of thumb rate of 1kW per sqm; that's a big ole electric fire equivalent
because there was absolutely no breeze through the house.
Having been in a similar situation for many years, of circa 6sqm of south facing non opening roof glazing in the office, the ceiling of which has 300mm of PIR (not so bad on winter), I've finally installed the 21 inch extraction fan I was gifted several years ago, such that I can open a cupboard door, switch it on and evacuate all the house volume in about 3 minutes

It just irks me that it costs 350W minimum to run. Thinking of having 4 desk fans mounted in plywood instead.. Slower but less than half the running costs