If you spend the day at a desk and in meetings in an air-conditioned office, a cloth that is too light can feel chilly across the shoulders and back, especially with the jacket open. On a warm, humid day without air conditioning, on the other hand, a cloth above 300 g/m² will feel too warm, even if it is pure wool. The lining affects warmth as well: a fully lined jacket is warmer than a partly lined one, and linings made from cellulose fibres such as cupro or viscose breathe better than polyester.
Mechanics matter just as much. Creases show sooner on a lighter cloth, especially on the trousers if you sit a lot and carry things in your pockets. A heavier cloth has more "shape memory" and recovers more easily after a night on a wide hanger. It creases too, but the folds are usually softer and look more natural.
Then there is the drape of the jacket. A very light cloth, especially in a pale colour, ripples more easily at the lapel and the hem if the size is even slightly off. Half-canvas construction helps keep the front clean, but the cloth should support the cut rather than fight it. If the jacket has to look good from morning to evening, the middle of the scale usually works better than extreme lightness.