Law 38.2b is clearly counter your statement on the Lords website. Once in the delivery stride the ball must subsequently touch a fielder before the wicket is put down for the non striker to be given out.
it is not law 38. here is the link to it
http://static.icc-cricket.yahoo.net/ugc/documents/DOC_BB1EB9635DEBBF50590D506FE7937343_1317276292184_861.pdfhere is the change to the relevant law:
Law 42.15 – Bowler attempting to run out non-striker before delivery
law 42.15 shall be replaced by the following:
the bowler is permitted, before releasing the ball and provided he
has not completed his usual delivery swing, to attempt to run out the
non-striker. Whether the attempt is successful or not, the ball shall not
count as one of the over. if the bowler fails in an attempt to run out the
non-striker, the umpire shall call and signal dead ball as soon possible.