I'll take your hypothetical bet with my own speculation to the contrary: I imagine most flight attendants are in better physical shape than, say, your typical office worker due to the nature of their job, as well as being more on top of preventative health measures (vaccines and such) precisely because they know they're at higher risk due to the number of people they're exposed to.
Their significant others on the other hand, they're sick as hell all the time...
This is different from my personal experiences. In the last few years, I've dried my hands with a touch-free system in the vast majority of airport bathrooms I've used. I've found airport bathrooms to be touch-free at a much higher rate than public restrooms in general.
I know I would pick an airline that installs this.
Even when air is warm, breeze can make you uncomfortable, and in-flight air is often cool on its own.
Net result might be more people becoming sick, not fewer.