I can go either way with this. I am both bald and trans. The hair lose started in HS and so did all the negative comments about it. Yes, it was just one more chink in my armor to attack me on.
Many of the feelings living with the two conditions are similar in nature but very different. Both deal with how you feel about your body image which is one very big common factor. Balding is perceived vastly different in society when compared to being trans. One is acceptable, the other mostly is not.
As a teaching/learning aide for your dad I say great. It may not be a perfect analogy but it is something others can personally relate to, feel part of the same pain, and hopefully open up further dialog.
Besides being trans, the chameleon part of me allowed me to not only be a great design engineer, I also did very well on sales calls and marketing. One great device I used to explain extremely complicated systems to non-technical types like our sales people and customers, was to use simple analogies they can relate to and then build on that. You know when a basic understanding is established when the obvious, to you, questions begin to get asked. My wife really deserves the credit for teaching me that. It worked great on her students too.