That depends on what you mean by "propped up". ESPN is dragging down the company as evidenced by how after the entire economy is up 16% since the election, Disney stock is still well below it's all time highs (and has been dropping recently). The way they have been jacking up the price of admission as well as the resorts is good for revenue (not complaining, merely stating people are willing to pay it and that is good for share holders). The movies are great money makers as well, Marvel and Lucas were great content investments. But all those things combined are offset by ESPN being a drag on revenue (or you could look at it that the parks and movies are propping up ESPN). If I could only invest in the movies and theme parks I would do it in a second, but buying Disney means you get stuck with ESPN. I have no reason to believe that people are going to stop cutting cords, if anything it will get worse. Disney will be a better investment when their main source of income is not ESPN, until than I don't care to own it.
I also do not like how Disney has a 1.4 beta (which means it is very sensitive to overall moves in the stock market). A year after 911 Disney stock lost 1/2 it's value, and while it has more than made that up that does reflect how vulnerable Disney is to world events.
Lastly, no one should own a stock merely because they like the company. That is foolish IMO. Use your head and not your heart when you invest. I own a good amount of CSV (carriage services, pretty much a funeral home stock). The reason I own it is because I believe in the somewhat near future it will make me $ because the baby boomers are going to start dying off. I enjoy going to Disney World, I don't enjoy going to funerals... but I am going to put my money where I think it will make me even more money.