Diversions via Chester used to be a regular occurrence when Crewe - Warrington was closed for engineering work. If I remember correctly, regardless of running northbound or southbound, the train would run through Chester station (non-stop middle road) then take the route towards Birkenhead. After coming to a stand the train would reverse and propel around the Chester avoiding line, into the tunnel. After coming to a halt it would reverse again and head back through Chester station (again non-stop middle road).
Note that there was no top-and-tail working involved, just propelling a passenger train round a curve and into a tunnel.
It was usual for the booked AC electric loco to be hauled dead in train, producing the unusual sight of an AC loco at Chester. I once saw a train middle road at Chester with a class 86 on the front. The diesel dragging loco had failed, so it was unhooked and retired to the depot for replacement, leaving the 86+train stranded middle road.
Diversion of WCML trains via Chester was particularly common in 1971-73, while the main line north from Weaver Junction was being firstly remodelled, resignalled and then had overhead electrification infrastructure installed.
A common occurrence to the extent that diversions on some late nights and Sunday trains were 'cast in stone' in the annual Working Timetable.
Attached is one extract from the May 1971 - May 1972 WTT, covering Sunday trains between Crewe & Euxton Jn.
There are several Euston - Blackpool trains shown as "via Chester" re-appearing onto the WCML at Acton Grange Jn. Note "the other 1P31" on Sunday was the 14:20 Euston - Blackpool N. (The photo is dated 11 July 1971 - this was a Sunday)
In 1971, Sunday Euston - Lime St expresses also went via a Chester reversal and Frodsham & Halton Jns (these would have been the ones seen at Chester with an 86 in tow), while Scottish trains were routinely diverted via Stockport, Denton & Manchester Vic to either Euxton Jn or even further
off piste via Bolton, Blackburn, Hellifield & the S&C.
Certainly, Sunday long-distance trains could be few and far between back then, but considering Blackpool and Lime Street trains did the Chester reversal in both up and down directions, there would be quite a few propelling moves with full-length passenger trains to be seen on any given Sunday.
[EDIT]
Slight correction on my statement about electric locos being dragged through Chester. . . This most likely did not occur during the 1971 period.
The diverted Liverpool expresses in the 1971 WTT are timed as D455 though to Lime St, and the station stop at Runcorn doesn't allow enough time for any loco on/off malarkey (I had wondered if diesel haulage was only between Crewe & Runcorn for the Liverpool trains, until I checked)
It makes sense, as electric/diesel loco changes were common and quite slick at Crewe before electrification went north of Weaver Jn. There was no point in dragging a dead electric loco to and from Lime Street. But after
introduction of the Electric Scots - yes, perfectly logical for northern WCML trains. </pedant>