Re: Maths
I don't know where you come from with this. I certainly don't advocate for Look-See. Any more than I advocate for Phonics. They both have their place and can both be part of learning to read. But reading is a cognitive process that utilises all our cognitive, linguistic skills. And there is a massive body of research showing that this is how we read. And I don't just mean proficient readers, though I do wonder how you think that kids taught a purely mechanical skill can magically transition to proficient readers using diffrent skills.
And the limited evidence that we see from the lack of objective research in such matters, and anecdotal evidence as well, suggests that they don't.
But the argument you make is a well known straw man argument used by the Phonics lobby to persuade politicians and the public that their way was the right way. Look and Say methods ( e.g. Janet and John in the UK) were pretty much a distant memory when this argument was being used.
Just as they used straw man stigmatisation arguments to redefine cognitive methods as "just guessing" .
The third cynical plank was to provide self-defining "evidence". Reading tests that were actually tests of phonic skills.So that kids who could even read fluently could be shown to perform less well than kids with great decoding skills.
Why this was done?
Vested interest was one reason, because there's money to be made selling phonics schemes. They are easy to design and cheap to produce, but get sold by an effective monopoly ( they have to be "authorised") for a lot of money.
Lobby groups who genuinely believed that Behaviourist approaches were the way to teach or that these approaches were a solution to Dyslexia (which for some kids they can be- I have no objection to this approach for appropriate use btw). We see this a lot in Special Education where there are various organisations that promote Behaviourist systems to make kids appear to improve.
However, what really surprises me is that after I've stated that I was a reading specialist (i.e. someone who has studied and practised the specific teaching of reading) someone comes along on here and claims that they know more about a subject I spent years learning about and practising, but without stating how or why they do. Maybe you do have a PhD in reading development, but you haven't said so. I only have a Psychology degree and few decades of continuous post-graduate training.