Not sure if the draw is the same as building the Tower of Mastery, but when I started the tower in my last game, and everyone declared war with me (actually they declared war when it was in my build queue, four items down, not at the point I actually started building) I went to the Seven Pines, and cause peace, then a turn or two later, started trading again. When the 10 turns of peace passed, everyone immediately went to war with me again (since I was still building the tower, I assume). Not sure if the same would occur with the Draw, since that is a one time thing.