How long is your layover? CPH is quite an efficient airport, even when very busy in summer I've never waited more than 30 minutes at immigration as a non-EU citizen. My advice? Don't stop when you get off the plane to look at departure gates or visit the loo, follow the crowd & signs straight to immigration.
EES wasn't operational when I arrived into CPH entering Schengen April 2nd, the immigration officer told me they'd had some problems with it, so they had shut it back down. There were just the normal 'EU citizens' & 'Other' lines.
I'm exiting Schengen again on May 27th, will try and let everyone know how it goes.
PS, Good to know Carrie! Thanks. Sorry just saw your reply, so basically they've done away with the EES MACHINES, but not the EES process if immigration took your picture & fingerprints!