Gutenberg said:The LOA has nothing to do with VFR procedures. It is an agreement between satellite airport towers and Chicago that specifies altitudes and routings between each of these smaller airports like Waukegan, Lake in the Hills, Palwaukee, Gary, Du Page, Aurora, etc.
You refer to "the LOA", which might lead some readers to conclude that there's only one. There are actually dozens of LOA's between Chicago and the satellite airport towers, covering much more than just the IFR routings and altitudes you mentioned. VFR procedures that affect other facilities are always addressed in an LOA.
That said, there are no provisions, in any of the LOA's between PWK and ORD, that permit PWK controllers to allow VFR traffic on an extended downwind for 34 to enter the Class B airspace. They could seek permission to do so on an individual basis via direct coordination with O'Hare Tower-- but unless an emergency exists, chances that permission would be granted are pretty slim.