I was a Suzuki student and went onto to study in the US - and there is no way I could imagine wanting my children to learn via Suzuki.
Firstly, for many of the reasons stated above; Suzuki extreme, hot housing, competitive parenting, and don't even start me on the things that music teachers got away with in the 80's.
Secondly, I feel Suzuki works before a child can read. Having a heightened aural awareness is brilliant, however a Suzuki 'born and bred' student often has little ability to sight read. They may be able to play their repertoire brilliantly, even non-mechanically, however their ability to play in an orchestra, or to improvise, or perform at short notice is often impaired.
So if your child is an early reader, then why shouldn't they learn to read music. In the same way that you can bring your child up bi-lingual.
Anyway, OP, apologies for the waffle, I hope your children enjoy their lessons!