Does this also work with Logistic and Trash slots?

No, this mod works just with inventory filters. My primary use-case was ability to set filters on car/spidertron inventory.

However... (shameless plug) I did release a mod that operates on personal logistics requests (provided that you want to be able to export/import requests using blueprints):

• https://mods.factorio.com/mod/personal-logistics-templates

And currently I am planning on implementing something similar for the equipment grid as well (again, primarily for use with spidertrons).

Awesome! Link didn't work for some reason, but found it in your profile.

Ah, it didn't like the trailing slash, I've update the link in the post :)