It looks like Google also has the "people also search for" feature in the local search finder results as well. If you go to the local results and click on a result and then click back to the results, Google will show you the "people also search for" carousel under that snippet.
Here is a screen shot:
I am not sure if this is new, I don't think I've seen it before, but I am able to replicate this myself.
This was spotted by Mordy Obertstein and posted on Twitter.
Is this new?
Forum discussion at Twitter.