Is this about some huge demand from one side of Glasgow to the other? I'm not sure that there is?
Or the operational convenience of freeing up terminal platforms (in the way that London's Thameslink can run dozens of services per hour through a central core, rather than have them all occupying terminal platforms at Kings Cross/ London Bridge etc)?
Or just some general nostalgia for the days when there was space on the timetable to accommodate quirky once-a-day services like the Clansman?
Some kind of Central - Queen Street tunnel would mean that places would still retain their service to central Glasgow (rather than the City Union Line idea which seems to work on the assumption that passengers will be happy enough being dumped out at West Street to catch the Subway).
But you'd need it to be pretty high frequency to justify the expense of all that tunnelling - you wouldn't do it for just (say) four trains per hour.
If you assume that anything going through the "core" would be a fairly "metro" train (wide doors etc like the existing Queen Street/ Central low level routes plus London's 345/700s and the 172s going through Birmingham's Snow Hill tunnels), what through services would there be in Glasgow? Plenty of suitable candidates from the Central side (short distance EMUs from the Cathcart lines, electrify to East Kilbride too, could easily throw in Paisley Canal and other routes).
Queen Street services though - that's tougher. Anniesland, obviously. Probably Dunblane/Alloa too. But that's still just four/hour. Running the Edinburgh services (via Cumbernauld and/or Falkirk High) seems asking for trouble (importing delays from one side of the country to the other).
There's also the question of how you get an alignment suitable for heavy rail (which can't cope with significant gradients) below the Clyde, below the Central Low Level line, below the Queen Street Low Level line and back up again to join the line somewhere around Springburn/ Eastfield? Is this going to stay entirely east of the Subway (from West Street to Buchanan)? In which case it's going to be a walk away east of the existing station at Central (but threading it under the Subway line at two places is going to make it even more complicated).
However, running some long distance services via Mossend seems less attractive. I appreciate the sentimentality for the Clansman but any Euston - Mossend - Inverness service comes at the cost of a Euston - Central service and Queen Street - Inverness service. Constraints on the WCML and HML mean a limited number of paths - so it's a case of opportunity cost. IF there's to be a second daytime service from London to Inverness then it'd make more sense as an ECML one (since that way it wouldn't come at the cost of a London - Edinburgh service or an Edinburgh - Inverness service).
Motherwell - Stirling maybe has some merits (if you stopped more "English" services at Motherwell), but it's never going to be that busy (and, even if you assume there's a massive market for something like Birmingham - Inverness, changing twice may not be that much more attractive than walking across central Glasgow - TBH I'd prefer the city centre walk over sitting at Motherwell for a connection.
It won't go away though - it's like Bradford Crossrail - a cross-city Solution In Need Of A Problem.