The article seems to be saying that there really is some physical phenomenon occurring here -- effectively, "cross-feed" between coupled fields -- but that this

The article seems to be saying that there really is some physical phenomenon occurring here -- effectively, "cross-feed" between coupled fields -- but that this phenomenon doesn't obey the relations that define a "particle". Or, more metaphorically, a particle is more of a squishy, wobbly blob (with a rather ill-defined boundary) than a rigid packet, and as it wobbles "in and out" of the individual fields it's coupled to, its effect on those fields will vary.