Will HS2 be cut back from central London?

There are reports this morning that the High Speed 2 railway may be cut back and the central London terminus at Euston cancelled, or at best, seriously delayed.
Early visualisation of an HS2 train
Citing problems with soaring inflation costs, The Sun newspaper reported overnight that HS2 bosses are considering plans that could delay opening the Euston terminus to 2038, or even scrap it entirely.
That would see passengers having to use the Old Oak Common station in west London instead of central