These would be allowed on SS+, but not on SS. SS is sole source..absolutely no conventional food. That's the idea.
It sounds like she's recommending SS+ without the protein. Sort of SS plus a little of SS+.
(Oh, except balsamic vinegar, though allowed at one time, is not allowed any more on SS+)
As far as weight and ketosis is concerned, it's unlikely to do you any harm. Psychologically it can if you want to take food out of the equation for a while though.
So it's up to you, but usually people chose SS or SS+ if they want to do a VLCD. Both brilliant plans, but best to know which one you are doing rather than allow 'free' foods (which don't exist on the plan), which can lead to other things.