Hallicrafters used several logoes on their ADs and equipment. After having seen several varieties of the same radio model, it doesn't surprise me at all that there are a lot of different logoes aswell.
What causes a variation? One obvious cause could be a set of independent engineers in the production teams, wanting to demonstrate and display their individualities. This is a way to obtain job-satisfaction, to accomodate a certain freedom within limits. In my own country it is called "high roof-height". High Roof-height is satisfying for an engineer - but it is not free.
Most logoes here will be unrestored, and just as many of us have picked up and restored hallicrafters radios, I hope some modern hallicrafters fans will pick up and restore the logos. There should be a difference though - the restored hallicrafters radio - is the property of the owner - but since a logo is a symbol - a restored hallicrafters logo should be the property of the whole hallicrafters community.
Source: Receiver SX-18.
Source: QST January 1937, an hallicrafters ADs.
Source: Magnet of speaker R-12T
Source: Magnet of speaker PM-23
Source: hallicrafters microphone
Source: hallicrafters tuner ST-83