A long time ago, in a galaxy far, far away...
There was a graphics chip company called 3dfx. They were king. They decided that being a supplier just wasn't enough, and so they decided to move vertically by selling cards with their chips on it instead of just selling the chips to other manufacturers.
They entered competition with the video card vendors by buying STB and therefore making cards based on their chips. The now competing vendors left for a little company called Nvidia. 3dfx died horribly, stock under a dollar, etc.
The end. (Yes, I'm bitter. I owned stock in 3dfx, and the management decided to destroy the company due to the stock options and golden parachutes.)
Intel's core competency is in processors and chipsets. If they got into computers or servers in a big way, they would have to spend piles of money building the process or finding a supplier to do it for them and then rebranding it like Apple does. Apple doesn't make crap, Hon Hai does.
No, Intel's doing just fine in their specialty. They faltered for a little bit when AMD ate their lunch. Intel refocused and now rules again.