Why do you disagree with 'deviating'? As far as I can see, and until someone provides good evidence that RR has officially changed significantly from Clay's prescription, the teacher is deviating from the lesson format.
Multicueing is a damaging strategy for children who are struggling with reading. It is essentially guessing, no matter how its advocates try to disguise it as 'predicting'. Look at a picture and guess what the word might be, look at the first letter and guess, look at the context (assuming that the poor child can successfully read all the context words) and 'see what makes sense'; i.e guess, because lots of words might make sense...
The only reliable way to identify a word is to sound out and blend the letters all through the word from left to right. It is well documented in research that it is sounding out and blending which offers most effective route into securing words in long term memory as 'sight words'.
This being so, why teach children to guess their way through a text? it ultimately fails as texts become more complex (and unpredicatable) and just adds to the cognitive load.
While it may not explicitly do so, RR methods encourage memorising words as 'wholes', primarily because decoding is not the prime strategy used for identifying unknown words; if children are not taught to routinely decode they have no alternative but to try to remember words as wholes. Also, the pace of the RR lessons and their emphasis on 'fluency', before children can properly identify words, gives the struggling child very little opportunity to use and reflect on phonic strategies.
Many 6 y olds may well be able to memorise a number of words as 'wholes' but these strugglers in RR are most likely to be the ones who can't do this, so more of the same isn't going to make any difference. Besides which, the number of words which can be memorised as 'wholes' is finite, around 2,000 - 3,000 words, which is a tiny proportion of the some 250,000 words in the English lexicon. The children who end up as successful readers in a mixed methods classroom are generally the ones who manage to intuit the phonic knowledge they need, even though they may not be explicitly aware of it.
The cost of a non-classroom based well trained teacher is going to be expensive anyway.
If classroom teachers and TAs are well trained in the teaching of reading, particularly the teaching of phonics, there is no need for a expensive extra teacher spending hours with children one to one, particularly if they are wasting time teaching useless multicueing strategies and 10 lessons at the start spent 'roaming round the known'! (What on earth for? Why don't they just get on and teach the poor child?) And they still can't, on their own evidence, teach the 'hardest to teach' children. What happens to that poor old 20% who get 'referred on'? Referred to whom? The class teacher who couldn't teach them in the first place?