The fact that pixels are point samples and have no area is something I feel an inexplicable psychological aversion for, despite it making sense. However, Monty's "Digital Show and Tell" video[1] helps me feel more comfortable about it. His explanation of discrete audio samples being point samples[2] (and thus should be drawn as such, rather than as a continuous stair step which I find akin to pixels) was invaluable. I generally knew everything he was talking about, but he was able to explain and present it such that I felt like I understood it more deeply than I ever had before. It's definitely worth a watch.
[1]: https://xiph.org/video/vid2.shtml
[2]: https://youtu.be/cIQ9IXSUzuM?t=5m59s