This morning I made some oatmeal. I took a 1/2 measuring cup, scooped out some oatmeal, shook it quickly to remove the overflow, threw it in a pot, and dropped the measuring cup in my sink. It took around 5-10 seconds.
If I had to do the same by weight, I would have had to get my scale, put on a bowl, zero the scale, slowly start pouring oatmeal onto the scale until it reached the desired weight, throw that into a pot, put the bowl in my sink, and put the scale away. That'll probably run around 15-20 seconds. If I screw up and poured too much into the bowl by accident, it'll take a lot longer to correct than briefly shaking a pre-sized 1/2 measuring cup.
Other times a scale is much easier to use too; it just depends on the context.
Volume fluctuates depending on temperature.
Where I live, the majority measuring cups can be used both for liquid and solids, they usually come with a bunch of scales for a variety of products, both with volume and weight[1].
Recipes are usually "200ml of milk and 1 cup of flour, eggs, mix it" I put the 200ml on the measure a cup and add the rest on top of it and mix on the same cup to avoid having yet another bowl to wash. I only use another bowl for making larger things, like cakes.
[1] http://www.sousanatal.com.br/gerenciador/app/webroot/images/...
Accuracy aside, I find it easier to cook by weight (especially if I'm scaling the recipe). I set the bowl on the scale, dump in an ingredient, press tare, dump in the next one, press tare. No fiddling around with measuring cups and spoons.
What weight are you using for a cup of AP flour when converting recipes? (I usually go with 125 g, per the USDA nutrient database, but I've seen numbers as high as 150 g elsewhere.)
Edit: that's for high-gluten bread flour, which may have a different density than AP flour.
My dad, a chemist, insists on weighing the dry ingredients, and I agree in principle, but find volume to be quicker.