I believe he simply owns enough shares in the company so that he gets to do whatever he wants. I don't understand why he continues to run the business. It's clearly not a rational decision. He's an investment guy, not a leader or manager, but his political/philosophical beliefs and ego seem to prevent him from recognize all the ways his lunch is being eaten, which is immediately apparent to anyone who has been in a Sears store in the last decade.
I actually think Walmart does OK with online stuff. I've been able to buy things for other people so they could pick up at a retail location. You can actually send money and sometimes even pay bills since Walmart in a lot of places acts as a quasi-bank. There are, and I'm not even joking, employers who now pay people in Walmart gift cards rather than cash or check because their workers aren't likely to have bank accounts.
But anyway, Walmart isn't as easy to deal with as Amazon - not even close, but it's at least possible to get things where they need to be in small amounts of time, and there's a lot of value in that.
This is off topic as all hell but I do think it's an interesting subject. Perhaps it should be its own thread?