What's best for recycling newspaper?

My county trash pickup people bring around two trucks every week. One is for recycling (paper, glass, plastic, etc.) and the other is for all the other household trash. The county issued me a rectangular plastic bin for recyclable stuff.

I still read newspapers – by the end of the week, it’s a pretty good stack. Usually I just put the newspaper in the bin and the truck comes and picks it up. Recently, so stuff doesn’t blow away in our spring storms, I have been putting the newspapers in a grocery bag – paper if I have one, but more often thin plastic.

Does ‘packaging’ the newspaper make it more difficult for the recyclers? (because then they have to unpackage it). Or is it all automated anyway?