You are saying that almost every Sony first-party title has not made a profit. When in fact, the opposite is true. Almost all of them have made a profit. How else do you think the same studios are allowed to continue publishing games?
Honest question, are there numbers out there to show this to be true? Because in this day and age a game can sell 4 million copies and still not be profitable. Plus companies tend to hide non profitable stuff among their profitable items in their balance sheets to make things look rosier than they really are. Personally I had heard the opposite, that most of their 1st party games actually lost money but were considered a necessary evil, just part of doing business in the console space as the old argument goes. But if there are numbers that show the opposite I'd be curious to see them. Incidentally the argument of discarding 1st parties has come up many times in the past, it's not cut and dry anymore that they are all worth keeping. Someone like ND serves dual purpose as both custom content and tech support so they make sense, but beyond that the financial drag (and risk) of many of these studios is quite severe.