Prof. Stephen Hawking is correct about cherry picking evidence not being acceptable. However, it is also not acceptable to claim others are cherry picking without presenting the full evidence and the conclusions you draw from it. I have tried to find evidence of cherry picking in this case without success.
There are some relevant comments here about the merits of spending on a 7-day NHS vs other priorities but there is no real evidence for cherry picking.
Unfortunately Prof. Hawking appears to be propagating a particular agenda on the ‘I’m a famous scientist, you can believe what I say’ basis. This discredits science and Prof. Hawking. Very disappointing.