My more cynical side wishes to express that this would make the lawyers very happy.
The http://argos.com/ people don't have trouble with the ARGOS trademark (there was a lawsuit about this!). OP's product might not be so lucky, though.
If OP can get a trademark registration for the right category through, they should be fine using the name Argos from what I can tell. Either Argos or ARGOS might object to that trademark and make that very difficult, though.
To use your Beetles vs Apple Computers case study, Apple Computers actually settled with the record label and part of the agreement of that settlement was that Apple wouldn’t enter the music industry. It wasn’t a case that the record label lost, it was a settlement. Hence the follow up case between the two after Apple released iTunes (or whatever it was that triggered their “arrival” in the music industry).