I would not where poly unless it was cold out. Unless I wanted to stay dry "AND!!" was not exserting myself, if I was going to exert it would be cotton.
Thing with Poly, Underarmor is expensive polyester, is that it sucks the moisture off of your skin. Now that is good if it is cold out and you need to stay dry. Wet skin will cool you much faster than dry skin. Cold days with high humidity are the same as damp skin, it just feels raw and cold, dry days aren't as bad.
Now lets go outside in the heat. Ok, I'll be in cotton and you in U.Armor. Your warm and I'm warm, ok, and you start to perspire slightly, I also will be perspiring lightly, ok, all is even so far. Now this is were things get technical. My cotton absorbs this sweat, were talking small amounts here, and holds on to it and it sticks to my skin. This wet fabric next to my skin will keep my internal temp. cooler better, and more efficiently.
Reason for this is 1, wet skin is cooler than dry skin, {don't believe me, go put on a t-shirt and jump in and out of water}
Reason #2 is, Your body needs water to regulate temp. If you are constantly sucking and wicking the moisture off of your skin your body will use more water trying to keep you at a safe temp, but you keep wicking it away so it will try harder, as that is how the body cools, it sweats! Now you are actually warmer and dehydrating faster even though that poly is cool feeling. You will be going through a lot of water.
Look at people that live in deserts they wear cotton underneath a outer wool robe. The wool robe insulates the sun and keeps it from drying out the wet cotton underneath. If those guys wore poly they would be dead in about 2 days not the 5-8 that we would realize in milder temps.
Bottom line is. You are going to sweat, vapor is always coming off you. If you keep it there when it's hot you'll be cooler, if you get rid of it in the winter, you will be warmer. Even if you don't "feel" so, it will be so.
Have a good one.