With Crossrail (now Elizabeth Line) nearly finished under London, the Channel Tunnel, and now HS2 tunnels, the UK is exposing some of its workforce to some great tunnelling projects. The skill these workers must have aquired working on these large-scale tunnelling projects is impressive. The UK could even be developing a comparative advantage in tunnelling.
It doesn't solve the factors outlined at the start, but it's a side affect few discuss in public discourse when deciding to fund an infrastructure project like HS2. The positive externalities of SpaceX's work or of NASA's work are not limited to the end goal (the fact we fly something to space), it's also that now we have more people with better skills. This is something that the media doesn't focus on when big breakthroughs happen, whether privately- or publicly-funded, and I think that's a shame.