What do you mean with the bold? I stated something they did back in 2002. How am I thinking too much about them?
Also the PS2 price cut wasn't planned for E3 seeing as it was before it and it was put in "effective immediately".
And to your last statement, yeah of course? Sony 2015 is different to Sony 2002, and they know they don't have to worry about the Xbox.
I mean that instead of thinking that a PS4 price cut depends on how their sales are going versus Xbox like you said here:
Now that Sony know they will stay in first place for quite some time, they don't need a price cut yet.
You should think about Sony's own goals.
Sony sold what...18m PS4 in the first year?
I think that trying to keep the business at least flat in the second year instead of deflating so soon is a big concern/goal for them and that has nothing to do with how Xbox is doing relatively to them.
If we think about how they can truly improve their profits, which is only by selling a huge amount of games and subscriptions, that can only be achieved by increasing the hardware adoption rate significantly so that all the new customers buy games, PS+ subcriptions and other contents among with their new console.
This is something they're really after and again, Xbox has nothing to do with it, they need growth for themselves.
These are the reasons that led to the PS2 price cut in 2001, 18 months after launch, they didn't care at all about the OG Xbox.
Also the price cut was announced a few days before E3, it was meant to be a E3 announcement, they did a bad trick to MS to not wait for their conference so that MS looked like they were reacting to them while MS was planning to cut the price as well.
But again those events are pointless, Sony wanted to drive their sales, sell more games and make more profits, they certainly weren't responding to a competitor which they considered in an inferior league in 2002.