I can't see that even this lot will wish to reverse the situation we have now where going to university isn't for the few but for most 18 year olds.
I think it's more complicated than this. The correlation between university fee increases and TEF (teaching assessment of universities) is clearly aimed to create a multi-tier university system. The top universities will be allowed to charge considerably more, while the lower tier universities will within a few years be driven down to fees comparable to what would currently be £6k. (The coalition government believed that lower tiered institutions in 2012 would not charge the full £9k, but without any disincentive to do so they did. Now the government will force fee differentiation.)
Meanwhile the research sector is seeing considerable cuts in real terms, with much of the available money being concentrated into the top tier of universities at the expense of the bottom. Brexit will most likely reinforce this further.
So within 10 years I would expect a multi-tier university system to be clearly in place. (This is not necessarily a bad thing, if it allows our top universities to be world leading and our lower tier universities to concentrate on what they are best at.) Grammar school pupils will indeed be aiming for the top tier (mainly) while those with lower A levels and BTECs will be encouraged to aim (mostly) for the lower tier.
However, policies are not always self-consistent, as there are also draft proposals for penalties for the top tier of universities not broadening their intakes and accepting more students with non-traditional qualifications.