The amount of freight out of the Peak District quarries has already increased dramatically over the last 6 months or so, even if most is just using paths that already exist. HS2 progression will only add to this demand. It'll be interesting to see how any increase beyond the current pathing is interwoven with passenger workings (if at all!).
Once the new loops and configuration are complete longer trains should be able to run. Wednesday this week was a particularly busy day and many of the freight paths were used, see RTT;
24 hours at Dore West Junction, 19/05/2021 That's probably the best place to note the choke point eastbound.
Many paths are duplicated along the Hope Valley as they're used for different end points, both coming and going, so several unused paths are inevitable and expected. West Burton power station is as good as shut so there are very rare workings on those paths. A lot of paths between Tunstead and Earles link to Toton or Barrow Hill. That's because there's inadequate siding space for enough empty wagons nearer to the quarries so any not immediately needed go there and are brought in as required. Several paths are for light engine movements.
The two 'Q' paths at 13.26 every week day apparently prevent Northern's 13.14 stopper from Sheffield stopping at Dore at about 13.20. Other Northern Hope Valley skip stops can almost all be justified by freight services occasionally using the booked paths. I've never seen either of these two run, although one probably did many months ago.
Incidentally, there are a lot of paths booked going westside via Chinley. On Wednesday it seems none were used;
freight paths booked through Chinley, Wednesday 19th May 2021
There seems to be a reasonable amount of available freight capacity that can still be utilised to allow potential passengers to catch trains that already run.
I'd conclude with the thought that if current fast service loadings along the Hope Valley don't improve soon there won't be justification for a third fast service. TPE are cutting some trains back from 6 to 3 car and EMR from 4 to 2! A second semi fast might fit better alongside freight service paths.