edgleyNo -- Apple did not invent the term "Personal Computer" -- The Xerox Alto is regarded as being the first "PC", but the term was popularised by IBM (with the IBM PC 5150) in 1981.
Please read my comment again and make sure you understand what I wrote before you reply.
Of course we'll never know if Apple had Linux on their radar when they ran the PC vs. Mac campaign. However I wouldn't underestimate the long-term view they most likely had under Steve Jobs and that they did consider Linux a threat in the desktop / laptop market. By running these ads, I would say they were definitely able to push public perception of the market in a direction that penalized desktop Linux adoption without actually naming Linux in the ads at all.
In any case, the future for Linux is still bright. Android is already eating into Apple in the much bigger mobile market and Microsoft is just a fringe player there.