You mentioned that the final was crap. No one will remember that. I'm presuming you agree, since you haven't denied it.
As for remembering our season, as a Spurs fan, of course you would. No one else will, though. And part of the point of winning is to create a legend that everyone can remember. Even people who weren't there when it happened - Villa's FA Cup goal happened more than half a decade before I was born , but it's still something I feel an intense nostalgia for.
No one outside of our present fanbase (not even our future fanbase) will really remember the time we put the pressure on and came second, except as a) a benchmark to break, and b) as part of a more general trend of rapdi improvement. I won't forget this league season for a long time, but the memories of that CC final night in 2008 will always take priority over the memories of spanking Leicester for six in the league, for example. Just the way I'm wired.