I'm genuinely intrigued where you're getting that figure of billions from. The new platforms are built largely under the new shed extension (and south under the old coal drops and parcels deck which were demolished), so there would have been no structural issues from them, certainly no more than the two platforms we did get. Information on the precise alignment of the tunnel under the main station are difficult to find, but the general consensus seems to be that the tunnel largely follows under or alongside Midland Road's old alignment with a slight difference of bearing with the modern alignment so that it remains straight but roughly aligns with the canal crossings further north, which means the curve roughly finishes behind the British Library, and indeed, the platforms were built where they were as that's the southernmost bit of straight track.
With that in mind then, building an additional tunnel west of the current one, merging under Midland Road, should have been fairly easy (and thus relatively cheap). The complicating factor is the listed main station. Given the new tunnels wouldn't need to run under much, if indeed any of that, I don't see the problem that would lead to billions in additional costs. It was my understanding the new station was built by digging down around the operational railway and excavating a box, which was then covered over the new St Pancras elevation built atop it. Digging out a larger space shouldn't have been particularly challenging given the open space to the west of the station at that time.
...now by all means make the argument they weren't necessary, but that's certainly not the same as arbitrarily inflating costs to make your case.
I've done this at least twice before, but here goes:
The curve from the south is too tight for pointwork to have a linespeed high enough to maintain a 75 second headway. Indeed it's too tight for any pointwork AIUI.
Therefore, to get the necessary divergence / convergence for the platforms, the point work needs to be on the straight section, ie the toes of the points would be about 1/3 of the way along the existing platforms.
Allowing for the points themselves, and to get the necessary track separation for the platforms - with escalators etc - puts another 100 metres or so on. More so in the southbound direction, as you would want a 100metre overlap clear of the platform starter signal before the conflicting point of the converging junction. Therefore the south end of a four platform station would be, at best, where the north end of the two platform station is today, ie at least 250metres further north.
Now look to the north of the existing platforms. The northbound tracks turn sharply upwards. And there are the junctions for the Canal tunnels immediately off the platform ends. Let's assume that putting new platforms on that gradient is acceptable (it isn't), then the junction for the ECML is at least 250metres north of where it is today. And that is the problem, as the alignment of the tunnels as built is such that they can only just twist and turn to the right place to make the junction on the ECML (I can vouch for this having walked them).
Therefore with the junction at the St Pancras end being 250m further north, the tunnels couldn't reach the junction on the ECML, so that would also have to move north. Unfortunately Copenhagen tunnel is in the way so the Canal tunnels would have to be bored to a point north of that, popping up somewhere on Holloway bank or near Finsbury Park. By this point, the ECML tracks are paired by direction, not use, so there would need to be two portals, one either side of the ECML. Note the residential properties neighbouring the railway at this point. Also note the Piccadilly line is just about under the ECML along here and would also have to be avoided, somehow.
Compared to what was built that results in an at least an extra 2 miles of single tunnel, an extra portal, plus rather a lot of property acquisition and demolition. Easily half a billion, probably more.
Turning to St Pancras, the current platforms are partly built outside the footprint of the station building and are partly under the taxi rank. additional platforms would have to have gone to the west - there being a culverted river / sewer to the east. That would have required cut and cover tunnelling under Midland Road and the demolition of many properties on the west side of same. Given that a 4 platform low level station is 250m further north, it would be well outside the footprint of the main station and would require the excavation of St Pancras church gardens, and probably demolition of the church itself. There would also need to be a head house for the secondary escape at the north end, somewhere near the Regents Canal. All told, this is a 4 platform sub-surface station well outside the footprint of an existing station. That is easily another billion, probably more.
And the end result that most passengers would notice is they have to walk at least an extra 250metres to get to where they want to get to.