It's not that simple.

For many poor and middle class people bikes were a sign you were poor and could not afford a car. So some people in the middle would avoid biking so as not to look poor.

Upper middle class, having some security and wealth didn't care about "looking poor". They could ride $5000 bikes to display wealth or could ride $50 used bikes, interchangeably. They already had status so bikes were neutral or even positive (I'm active, I'm pro environment, etc.)

Anecdote: I come from a working-class neighborhood. Adults on bikes were roundly ridiculed when I was growing up. There is absolutely no chance (or evidence) that the adults of my childhood had any interest in bike lanes (for exactly the reasons you describe).

Yes. I am extremely confident that newcomer wealthy residents were asking for bike lanes in a way that previous less wealthy residents weren't. You might ask yourself why so many people have an interest in avoiding this explanation. It's just politics.