I think they are meant for people to believe they do something so they’ll feel better and wait. I used to walk a lot and encounter lots of crosswalk with buttons and I got used to how fast I should go in order to catch green every time and I could predict when the next crosswalk was going to turn green. If they truly worked then they should have been out of sync. I never pushed the buttons and I saw the light turning green even though no one pushed the button, if the buttons worked then why would the light turn green?
I also asked gemini about this and he said I’m not going insane, strange because I never mentioned if I was insane or not, but good to know I’m not.
Maybe some buttons work and other don’t depending on where it is?
Their behaviour is programmed based on the characteristics of the intersection. If it’s a very lopsided one where one direction has heavy traffic and the other very little, then the button might trigger a light change.
Other times, the light timing doesn’t change, but the button will trigger the crosswalk to indicate walk after the next change.
Other behaviours I’ve seen is it changing the advance green/left turn signal, or showing the walk symbol while all traffic is stopped.
And then I’ve seen a few that do appear to do absolutely nothing - but that doesn’t mean that’s the case. For example, an intersection might have a button that only does something at night when there’s very little traffic, but doesn’t during the day when the intersection is constantly busy.