I think it would depend on the amount of physical work and the temperature, for example, cutting reeds on a hot sunny day will be a tad uncomfortable.
The full suit with the head net built in will be even warmer if worn over light clothes.
A head net by Scotmas on Amazon for less than a fiver must be worth a try?
I see it's a "round the neck" fitting
Pyramid Head Net: Amazon.co.uk: Kitchen & Home
My "under the arm" job looks a little like this one
https://www.johnnorris.co.uk/shop/ty...e-bug-net.html