Jones would be fine in midfield as a two in the right set up. Arsenal are playing Xhaxa there and they've been fine, City play B. Silva and De Bruyne in midfield and are fine defensively. I get the argument Klopp needs midfielders to do x more then other managers, but he's adaptable as he constantly shows.
I also think the fear of Jones and Elliott playing in midfield, not just from Dave but wider from some fans, ties in to why England only produces one type of midfielder it seems. There is a massive fear of what they can't do if your a technical player and so it's easier to shove them forward as they develop in to the first team, similar to centre backs coming through at full back I guess. England has so much money you can buy anyone ready made you want so you don't have to worry about trying to develop players. Klopp actually seems like one of the few who's not like this Henderson and to an extent Lallana were moved back, Jones and now Elliott as well. He's trying them both there so he sees something worthwhile in their midfield roles.