They may not particularly care about the war, but they may be students of history, and believers in the dictum that civilisational progress depends on learning the reasons for the mistakes of the past. Those who care most are likely to be those whose relatives suffered as a result of it, as well as those whose living depends on it - teachers, politicians, Arrse drivellers etc.And why would they care about a war that ended over 70 years ago?
(Possibly related, today I discovered, through a cousin, that a relative had died as the result of the minelaying activites of the Scarborough raiders in WW1 (on SS Glenmorven). The moral questions around minelaying have been substantively dealt with since then, and that's because people look back into history and then regulate for the (unwanted and unneccesary) damage that can be caused by actions not fully thought through - 'collateral damage', as it became known.)
(Edit: I've just read back on the question which you were responding to. Wholly unrelated, and to do with the B word and things. Sorry for the lecture, but it had to be said . Yes, it did. It did.)