In any case, this is not useful advice. And patently untrue. When the chips are down, people do care, and people help out, if you explain the challenges you are facing and the odds you are up against. Not least of all, "your mama".
The article also strikes me as a misinterpretation of the quote and the exchange between owner and coach. I would read it differently... the coach is at his wits end, calls the owner for advice, and the owner doesn't merely say "nobody cares"! He says "just coach your team". Meaning, don't worry about all the things you thought you were going to do (with the team roster you thought you had) and just hang in there, stick to your core strength (coaching) and do your best to make it work.
No wonder the author has anguished posts on his blog like "What’s The Most Difficult CEO Skill? Managing Your Own Psychology" wherein we read such gems of wisdom as "It’s like the fight club of management: The first rule of the CEO psychological meltdown is don’t talk about the psychological meltdown." Not really. The first rule is relax, don't take yourself so damn seriously. Actually, there are no rules. Isn't that why you became CEO?
People infected with attitudes like this suck all the life and joy out of doing business. It's not all about people standing around yelling "no excuses! yo' mama don't care!" at each other. Carrying around excess psychological freight like this only slows you down, makes you hate yourself and the industry, etc. If there are problems, you deal with them. Often times, solving problems means figuring out the parameters of the difficulty, putting all the resources you can against the problem, and then going and finding the right people who care to help you out with the rest.