Despite the way the media etc. like to portray this, the really isn't any change at all. Sure the HC may have been rewritten to describe things differently, but underneath the laws remain the same.
As others have mentioned, the legal situation previously (and it's still the case) is that when you cross the broken line turning into a side road, you must give way to any road user already established on that piece of road (whether a pedestrian, oncoming vehicle going around an obstruction etc.).
What that always meant, by logical extension, was that it should in effect be treated as a zebra crossing with respect to pedestrians. Give way to anyone crossing, or who could start to cross before you cross the line. Incidentally, legally the same was always true of real zebra crossings - you only had to give way by law to those already on the crossing, not those waiting to cross - but the logical extension is that you should give way to anyone who could have stepped onto the crossing prior to your arrival.
Of course, although the laws haven't changed, in any resulting criminal prosecution for careless or dangerous driving, the guidance of the Highway Code is taken into consideration. So whether actual law or not, it does play a part in determining the standard of your driving.
So the new changes will make not a jot of difference to how I drive. I will continue to offer waiting pedestrians the chance to cross. They often don't and prefer to wait, but the offer is always there.