Except he didn't re-hire him. As noted in the article itself, the architect was already in negotiations since November. Also, new CEO doesn't step in until next month. Clickbait title.
Gelsinger not doing the rehiring
Architects = 1 architect
Three ways in which the headline is misleading.
How about 'New CEO helps recruit retired architect'
That's what he says and it is probably true. But it could also be true that saying so would put him in good graces with the new CEO and he would basically be expected by everyone to say that's what pushed him over the edge even if it wasn't, so him saying so adds little new information.
If the negotiation was all smooth he would have been working with Intel by now. Remember he was retired, he doesn't need 30 / 60 days notice to anyone apart from family.
Intel needed help, but sometimes even money cant move some people. They fail to attract any talent, especially those who have already worked in Intel and knows their culture.
Having Pat meant finally shit will get done. And for most engineers, that is far more important because we all hate politics.