If the players are playing smart there should always be a guy covering (Eberle is really good at doing this). One thing every Oiler forward needs to be aware of is when Schultz is on the ice so they can be ready to drop back to cover him if he rushes.
I actually find there biggest issue to getting caught up ice isn't so much the fact that they overpursue, is the fact that they over pass, and don't put enough ugly shots on net. They lose the puck on a battle on the boards or with a 2nd or 3rd pass that wasn't necessary. The Oilers need to start getting pucks on net more then anything, if someone puts something in front that can be tipped or picked up on a rebound by a driving player then they are going to score more. The kids need to realize an ugly goal counts just as much as a pretty one.
It's funny that all the things you are sayin that the team needs to do more of are things that everyone on here hates on Paajarvi for.
It's much more entertaining to have someone like Hemsky skate into the zone, deke out all 5 defenders skate around the net then turn the puck over at the blue line.
As for the OP. I hope we see a team that wants to set the pace and make the other team adjust to it instead of watching the first 10 minutes then trying to adjust and play catch up.