No. Walt confessed to Skyler that he did everything for himself rather than to provide for her and the kids. He liked the power and the excitement. That's a big difference.
Exactly, he confessed that it was all about himself and this includes his relationship with Jesse.
At the beginning Walt most definitely used Jesse and mostly loathed him. Jesse was his entry into the business and Walt needed him as a gopher, a 2nd pair of hands and for his contacts. At the end Walt used Jesse against Gus and against Mike and for his own selfish reasons. But in the middle he was genuinely fond of him. It was like a father/son relationship, Jesse sometimes drove him crazy and could disappoint Walt like nobody else on earth, but you keep overlooking the fact that Walt killed to protect Jesse and put his own life in SERIOUS jeopardy to protect Jesse. When the chips were down, he cared. His whole plan for attacking the Aryans changed when he discovered that Jesse was a captive rather than a willing accomplice. He protected Jesse then too.
I don't know many fathers that would actually try to murder their sons, so that's a bit of a stretch claiming that it was a father/son relationship. Walt didn't kill to protect Jesse. He killed to protect himself. During the episode before that one or maybe it was that episode, Walt had just found out that he would have to work as Gus's permanent cook forever and Walt was under the impression that if he ever tried to leave, he would be dead.
I don't know if you remember but there was a scene where Walt almost drove directly into an 18 wheeler right after he found out the news that he was on an extended contract with Gus for about 15 mill a year, a position he felt that he had no choice but to take. In addition to that, Walt and Jesse were purely coworkers the entire season. Never once did they hang out after work. The only time that they did hang out was when Jesse emphatically stressed that they needed to get a drink at a bar after work to plan the killing of the drug dealers. At the time Walt didn't know this and was worried about another problem as I mentioned earlier, that he unwilling became the permanent employee of Gus. Keeping Jesse alive by killing those drug dealers was Walt's only upper hand against Gus and that's why he did it.
He only protected Jesse from Aryans because he finally realized that it was not Jesse's fault for why Hank died. When I re-watched the entire series, it was always Walt asking for more and dragging Jesse along, he could never have enough. When Walt finally realized that everything bad that had happened in his life was his fault, he no longer blamed Jesse which is why he came back for him. Technically he didn't come back for Jesse, he just didn't want Jesse to be another tragic victim of Walt's greed, as his greed cost him his family. During the finale he was taking responsibility for everything as can be seen in the final confession he gave to Skylar. Everything he did was for himself. You can't be more clear than that.
And that crap about Hank is pure nonsense. Walt tried to save him, but even Hank knew there was no chance in hell Jack and the Aryans would let him live.
When it comes to Hank, Walt subconsciously does things. This can be seen when Walt was drunk and hinted that the chemist Hank was looking for is not G.B. as G.B. was just copying someone else's work. I believe there was also one more thing that Walt did subconsciously with hank, just can't think of it at the moment.
Anyway, even though he cared about Hank, he cared more about himself and choose himself over Hank. Even though he didn't come out and directly say it, his actions plays well into what he was really thinking. He could have easily talked his way out of that situation by claiming Hank was his informant. Right after the death of Hank, be blamed Jesse and not himself so this plays well into his state of mind during this moment, that he was still thinking about himself. When he met up with his wife after the death of hank, he was still blaming someone other than himself. The entire time, he was thinking about himself. That was his state of mind. He cared more about himself than Hank. Obviously, you don't see it this way but that's how I saw things playing out.