Jim Nagle,
Good call, Flynn certainly called for short grass around greens on a great many courses including the ones you mentioned. Photographic evidence indicates that these were mown at fairway height.
Flynn drew fairways wrapping around greens pretty early on. I think Lancaster opened with them in 1920 since the greens seem to be within the fairway cutting and grassing areas indicated in the drawing. Sometimes he used grassy hollows with rough (indicated with tufts) wrapping around one or more sides of the green and other times he used extensions of the fairways, indicating low cutting heights (for that era) grassy areas around some greens. Huntingdon Valley, Indian Creek. Manufacturers, Lancaster, make excellent use of these chippin/collection areas. Maybe the best use of this feature occurs at Shinnecock Hills. Green fall-offs, bunkers and mounds create a great deal of interplay with the short mown areas below greens. As the greens get expanded back to their original sizes, the features are once again having a strong effect on positioning in the fairway (tee demands) and approach demands.