When I go backpacking I wake up slowly and for lack of a better word I wake up naturally in the sense that I awaken with my own circadian rhythms. When I had a standard alarm clock when it went off my pulse and BP went through the roof. Not everyone is going to react this way to an alarm but for people who do it cannot be healthy to be startled every fucking day to start their day. It's going to elevate your cortisol levels which weaken adrenal function and lead, over time, to mildly elevated resting systolic blood pressure.
Have you actually been on a farm for any length of time and been awakened by a rooster or milk cows lowing? It is totally different than an alarm clock. Unless you perch a rooster on your headboard I guess.
John Thornton