For information the bottleneck at Dore should be resolved by end 2023. Invitations to tender for a 30 months design and build contract were issued in October with a closing date in November. They'll be being considered now with a decision anticpated later in 2020 when the DfT should finally allow the Hope Valley Capacity Improvement Scheme to go ahead. Spades not due in the ground until 2022.
That will incude lengthening the Heeley loop as well as redoubling through Dore & Totley station and adding length to the Dore West to Dore South Junctions chord to accommodate longer freight trains.
The HS2 project includes raising most of the bridges from Dore into Sheffield with the whole length made 3 track. This is broadly what seems to have been planned for MML electrification where an electricity feeder station was pencilled in beside Dore West Junction.
There's no longer room to rebuild 4 tracks into Sheffield from the south. Even slewing tracks between the Tesco's and Sainsbury's supermarkets at Archer Road will be tight. Various other obstacles have appeared along the former trackbed since the original tracks were lifted and the remaining tracks slewed. Of course demolishing Tesco's and building a new supermarket above the railway might be a good idea, with a park and ride facilty to back a new station on the restored slow tracks beneath - dream on.
I'm not totally convinced that there isn't room to do a dive under for the Hope Valley tracks at some point. The Sheaf can't be a greater obstacle than was encountered by all those tube lines below the Thames, but it would be costly.
Remodelling of Sheffield station was anticipated for MML electrification and is now for HS2, some time soon? (soon - railway parlance = 15-20years)
Congestion at the north end of Sheffield impacts the south. TPE trains from Cleethorpes are frequently delayed, possibly at Grimsby, Scunthorpe or Doncaster, but if they get through on time they often come to a halt in a queue to get through Meadowhall and the throat into Sheffield. (XC trains suffer from the same congestion issues.) The xx.11 departure slot is missed and Northern's xx.14 is delayed. That can be held further after the TPE service has left, possibly for XC or EMR trains in either direction.
There was an option to add extra crossovers at either side of Dore that would have allowed bi-directional traffic through the station. They have been omitted from the work to be done, as has any access to the chord/loop from the Sheffield direction. Either would have been useful to allow greater resilience and might have allowed an option for an occasional train from the north or east to run down to terminate at Dore instead of Sheffield. When remodelling does eventually take place at Sheffield platform space will be in short supply while the work proceeds.