I didn't think that there was a serious proposal to do that. Is this for full-length HS2 trains?
There hasn't been a serious proposal to do it. But, it doesn't seem like there are many realistic alternatives.
For one, the idea of any new Glasgow HSR capacity being anywhere other than Central station is a dud. Crossrail isn't happening and the land around High Street is being developed now or in the near-future. There would never be a business case for moving high speed services out of the main Glasgow railway hub anyway.
Then, we work on the assumption that
at some point in the future there will be 400m high speed trains headed for Glasgow. It might not be planned for the HS2 project, but HS2 is not the last ever railway improvement project to happen in the UK. Should 400m platforms be required at Central, they will need to be standards-compliant and represent an increase in net capacity.
Then, we look at the site that's available. NR have already mentioned the idea of new platforms on the eastern side for LDHS services. If you're having to do a major rebuild to add platforms, it makes sense doing so in a way which keeps your options open for the future. TSI-compliant platforms could be designed so that they could semi-permanently adopt the UK platform-train interface until there's a compelling need to run captive trains.
As part of TSI compliance there are limits on curvature, making it pretty much essential for the platforms to be dead straight. Fitting in several dead-straight 400m long platforms such that they link towards the WCML fast tracks, without reducing capacity for other trains and also without destroying the Grade A listed station features isn't exactly trivial. It seems like the best and probably only viable way of doing is to have the platforms as far south-east as can be managed in the city grid. Union Street has an awkward kink at Argyle Street which makes dead-straight platforms impossible, so it's likely the buffer stops would have to be at Argyle Street. This means the southern end of the platforms would be on the south bank of the Clyde and the station would end up resembling Blackfriars.
I don't think anyone would really object to a station like this. If designed as a suitable centrepiece for the city, it would be a massive boost for the waterfront as it would tie the north and south banks together. You'd have to have escape stairs on the southern bank anyway, so you may as well add in a revenue entrance and really open up that part for train passengers. There'd have to be quite a bit of remodelling the railway as part of this work, but it could all be done in a sympathetic way for the city. The most important part of the station heritage north of Argyle Street might end up losing trains, with all of the buffer stops moved south of Argyle Street, but this would allow a nice new internal plaza under the traditional train shed. It'd all be like what happened at Madrid Atocha or St Pancras, where the traditional train shed became essentially a public space while the railway splayed out a bit at the country end to accommodate more platforms and facilities.