should not overlook

Does " should not overlook" in the following context connote "should not ignore"?

Context:

Artists don’t aim for a reductive simplicity (thought some might occasionally) but they, too, have an encompassing sense of what Coleridge called ‘cohaerence’ – the ‘clinging together’ of all the elements in a work to make some kind of whole which is psychically satisfying. This is not to suggest that there is an ultimate fixed reality to be found but the artist’s personal vision will re-inform and reinvent a view of it, sometimes honing in on things that are apparently redundant and inconsequential and paradoxically presenting us with a coherent reflection of a corner of reality that we perhaps should not overlook.