I don't think that's true at all, I know Liverpool didn't (at least) as they got done for offering it to a lad from another club when they didn't offer it to all at the academy. I think they had to release the lad who couldn't go back to his original club and ended up not being able to play (I may be corrected on some of that).
Liverpool Football Club Academy
Rainhill is a popular school. Our students come mainly from the Rainhill and Nutgrove parts of St Helens, but about 30% come from Knowsley, Widnes or Warrington homes. We are consistently oversubscribed.
rainhillhighschool.org.uk
I think this is the incident you are referring to, below:
Liverpool banned from signing academy players
After being found guilty of rules breach, Reds have been sanctioned by the Premier League.
www.nbcsports.com