Over the years I've found that I almost always shoot whitetails in the evenings and mule deer in the mornings...
I rarely hunt whitetails in the morning simply due to the difficulty of getting to a stand w/o bumping animals. Much easier to get to a stand when the deer are in bedding cover, provided you don't hunt too close to it.
Mule deer tend to be morning hunts as I hunt them spot & stalk, i.e., locate a suitable candidate by glassing, put him to bed, then attempt a stalk later in the morning after he's settled in and the thermals have stabilized. This usually means one stalk per day. This is the closest thing to a sure shot in bowhunting, once you get the hang of it.
I did hunt a morning stand a couple days ago as conditions were right and the stand is 50 yards from my barn. Had a 3 point toy buck come by around 0700 and hang around at 10 yards or less for better than 5 minutes. He put on quite a show, rubbing his little antlers. He eventually wandered off, never knowing my H1 and I were in chip shot range. I whispered a thanks for the show and told him to come back in 4 years...