There are numerous precedents both for tunnelling options and adding tracks to existing alignments. You are in no position to deem anything impossible on the grounds that you would rather have HS2.Of course he is not being entirely accurate saying that the tracks run exactly parallel to the WCML at the southern end and suggesting that he is saying that is being deliberately obtuse.
They are parallel in the sense they carry the same long distance passenger flows.
To suggest there is space to add a pair of railway lines alongside the existing WCML is just ignorant in engineering terms at the very least and actually delivering route improvements along an active railway is incredibly difficult, not to mention that you still have to deal with existing junctions, stations cross overs etc...
The ground engineering to put a new railway line next to any victorian embankment at the same elevation would require so much disruption to the existing line that you would drive most people away from the existing railway.
Not to mention all the other issues working next to active lines gains.
Building a new alignment avoids these issues as you can generally have a better method of ground engineering and control when going across virgin (not the TOC) land making it easier to design and build and generally cheaper.
Not to mention that if you are widening it you have to have all the land acquisition on one side for significant mileages otherwise you slew all the lines to fit increasing cost.
There is no space for lines to be added. Accept it.
Neither would be cheap but needs to be compared to the very high and escalating costs of HS2.