My city has inductive bike sensors at specific intersections but many intersections (even ones with bike lanes) lack them. Cycling infrastructure is so half-assed in the US.
Cost per benefit? My friend is a commercial property guy and sometimes has to bring properties up to date for handicapped access.
He jokes that with how few handicapped people use the features, he could probably give people $1k each as an apology for not being able to go into the building and be far ahead.
I started thinking that for the most part most handicapped people would even take that deal. I think I would.
I don't think it costs that much more to use a D or Q pattern for the inductive loop instead of a circle for new loops. But, if the loops are already there, it is a lot of expense to put in new ones.
Adding a loop to bike lanes might be reasonable, or maybe it forces a controller upgrade and that's not reasonable... but if you make the lowest speed through lane and at least one of each protected turn lanes bike accessible (while otherwise doing loop work), that's good. I think the loops are pretty shallow, so if the road has significant rebuild/repair, it's time to address the loop design.
The key word for ADA is reasonable accomodation. It does add expense, and not every feature is used often, but it's 35 years since the ADA passed and the US is a lot more accessible now than it was in 1990. The window of reasonable changes over time too, of course.