Mammanbebe - welcome to Mumsnet, it can sometimes get a bit heated (most often when you notice a few people starting to digress and have a heated debate while veering off the topic!) but for the most part you will find a wide range of opinion, and sometimes, good advice, and occasionally even the odd free bit of professional advice.
I too went through that round of looking around state and private schools very recently, and I have to say it varies- even some state schools are starting adding and subtracting, and even expecting pupils in Reception to be able to write their own name correctly. Regardless of whether it is "Jo" or "Alexandra"! That said, a lot of older kids (those aged 5 rather than 4, maybe) actually welcome the challenge. Among private schools, it also varies greatly, between those that mostly play to those who are doing more formal lessons.....again, the more challenging lessons may be due to the fact that they get a lot of older children who welcome it, or children who have already been through their own nursery and did lots of play and nursery rhymes there for a whole year already.
I think you need to visit the school/s you intend your child to go to and go for the one that you feel the most confident about. As for state vs private snobbery - in my area there is no choice: it's so oversubscribed that many families are often forced to choose private school or end up with no school or one that requires a 40 minute commute each way. You really have to pick what you feel is most suited to your child.
Don't forget that at Reception age, if your child has not turned 5 yet, you are entitled to use EYFE to subsidise part of your costs of private school. Most schools, unless we're talking about the very famous and exclusive ones that former princes, princesses and titled people went to (I think people know which I mean!) will accept EYFE and apply for it on your behalf, although there is no law that they must. The subsidy does vary fro school to school, so do ask for a quote from the Bursar when you visit - they can usually give you last year/this year's figures.