Greater Manchester and Merseyside fares and tickets are much more heaviley subsidised and the PTE have involvement in sustaining them so they will always be far cheaper than East Cheshire. I don't think that is likely to change anytime soon.
Day Tickets arn't usually bought if only a Single journey is intended to be made, GHA Coaches website/facebook page states they offer Singles and Returns so it shouldn't be costing many people £5.00 for one short distance bus journey, in fact a Day Ticket will only be an option if making 3 or more journeys if discounted Day Returns are available between all points where the Single fare is above £1.60 as implied, so a Day Ticket would be giving the equivalent of at least 3 journeys at £1.60 each which ain't bad.
Some of Cheshire already has a Bus+Train Day Ticket with TfGM Wayfarer which is now available at all Paypoints and many towns in Cheshire now have Plusbus (Congleton+Biddulph added recently) which usually offers very cheap bus travel on all operators when combined with rail travel (Macclesfield Plusbus is £1.60)
Whilst it's not perfect, its probably the best we're going to get on that front at the moment because Cheshire East don't get involved in rail.
I never new of the existance of the Sunday Adventurer and if I had I probably wouldn't have used it unfortunately as much as I would have liked to because we have only ever had 3 buses each way here on a Sunday until 2011 when they were withdrawn. Before that the Sunday 191 journeys were withdrawn in the late nineties/early noughties.