No, actually, after industrial action in the 80s, (when i was in school), most schools dramatically reduced there involvement with competitive sport (and other extra curicular activities). For the last 10 - 15 years, the generation that should have been producing sports stars has not - the same generation that was affected by this political battle.
For the vast majority of children you HAVE to encourage them to play sport even though they know they cannot and will not be winners - there are only a very tiny minority who will win at sport. this goes for every country not just UK - teachers will tell all 'average' kids that they have to try and enjoy sport without having to be the winner
also - you stated that "The guys who are fast, deserve rewarding."
this attitude in itself is part of the reason that top level sport in the UK is suffering !
Its too easy for the fast/strongest/most tallented to gain big rewards in this country - without delivering results !
I hope what you meant was "The guys who WIN deserve rewarding."