OMG, say hello to a 65 year old that has traveled to WDW solo many times over the last 12 years. 37? and you get a box of popcorn and sit on a bench and watch people? Really? What are you going to do when you are my age?
I don't like popcorn so I instead ride all the rides as often as I can. I don't care what people think! I don't care if they don't want to sit next to me cause I'm old and therefore strange. Why would I care I didn't go there to sit next to anyone so why would I care.
In fact over the last 12 years I have had a cute and terrific young lady chat with me while we were waiting for a movie to start and after it did, I felt a bit of pressure on my upper arm, glanced over and she had fallen asleep with her head hitting my arm. Her parents seemed upset and decided to move her so she wouldn't bother me...I told them they didn't have too, it was just fine and that I had been the Father of two little girls and I missed that. She stayed where she was until the movie was over.
Another time I was sitting in the across the bus rear seat section after leaving HDR when a family came in and there was only enough room for their little boy to sit down next to me. He did and within minutes he also was sound asleep against my arm. Another time I was sitting on the bench just outside of Splash Mtn. when a Mom and Dad and their little girl sat next to me. The little girls just looked at me for quite a while and then asked me if I had any grandkids. I laughed and said I did and then her parents asked about the fact that I appeared to be by myself. I told them I was and that I loved WDW and came here often by myself. They, the parents, then asked me what I found to do in the parks. I replied, everything that you do. In fact there were some water spots on my shirt that got there during my ride on Splash mountain a few minutes earlier. They couldn't believe that a man, as they put it, of my advanced years, would even go to a park alone, much less still ride the rides. Heck I was a whippersnapper of 55 at the time. People know so little about aging until they actually get there.
The fact of the matter is that I have never seen anything that would leave me to believe that anyone gives a rats tail about what other people are doing or if they are "alone" or not. There is no reason at all to feel self conscience about it. 99.9% of what you think is someone watching what you are doing is your imagination at work. As for the other, .1% can you think of any good reason why you should care what they think. I surely cannot.
I really need to start booking and planning my trip, 
