Yes, all those things are true. It's very difficult and, don't get me wrong, I agree that tutoring to pass the 11+ is ridiculous. Aside from disadvantaging those children that don't get tutored, it could also disadvantage those that are, that get into the grammar school and then find themselves sinking in a school that they just aren't suited for (or isn't suited for them).
In terms of parental help and support - I just don't know. It's obviously an advantage and it's incredibly sad that some children just don't get it. They are disadvantaged by this right from the word go. Ds1 is only in year 1 and I go in to read with the children. Those that are in the lower group, needing additional sessions within school are those whose reading books are never filled in by their parents, so I'm assuming they just don't get read with. You could say ds1 is already at an advantage because I read with him every night, we put number work and puzzles into everything we do - you know the kind of thing I mean, the stuff most of us on MN probably do but lots of parents don't.
So it's not even at the point of sitting the 11+ at which parental support is helping them, it's right from the word go.
I must admit, it was a key reason for my career choice when ds1 was born. I ditched my career that was going brilliantly well, to become a work at home freelancer. Already I feel it's helping ds1 as we get time every evening to do spellings and reading - and not at the point where he's dropping off to sleep either.
We live in an area where there is still the 11+ and we have excellent state grammar schools. I'm hoping that my being around to help the boys with school coupled with the fact that they go to an 'outstanding' (by Oftsed inspection) school negates the need for me to use private education and that, should it be right for them, they'll get into the state grammar.
Hmm, I've almost forgotten my point now! Well, I just don't see how you can change the fact that some children have that kind of support (whatever the parent's circumstances because it's obviously not just SAHPs that provide it!) or how you can factor that in to the tests.
In addition, if you need that kind of support to see you through, perhaps, the tougher years at grammar school then maybe it's not so flawed after all? I just don't know.