As a PS3 and Vita owner (chances are you're probably not in the 2nd category), I have a vested interest in Sony's ecosystem.
I know as a dedicated gamer that wants to see them not only survive this next generation but thrive, Sony needs to be far more adept at generating revenue than they have been in the past in order to fix their marketing, keep their first-party studios afloat and counter the aggressive subsidized purchase plans Microsoft will be rolling out for Durango this fall.
Microsoft generates over a half-billion dollars in revenue in LIVE subscriptions annually (I'm actually low-balling that number - it's probably well over that). This is revenue Sony could sorely benefit from having.
Frankly, I would argue that YOU have no interesting in supporting Sony by saying they shouldn't charge for online. Because instead of showing an appreciation for Naughty Dog, Sucker Punch, Polyphony and Sony's rich development culture and IPs, you're only coming across as being cheap because you don't want to cough up the equivalent of one game purchase/year to support their online infrastructure.
(Having an additional revenue stream in place could also help to stave off attacks like the one that took their entire network offline for a month and compromised thousands of accounts back in 2011.)