So... I did get to see this on the big screen in 3D, and for me it was totally worth while.
It wasn't, as some might have hoped, a fictionalised retrospective of the Doctor's twelve lives and 50 years to date, but a contemporary sci-fi set in that established universe and with a few nice little nods to the show's history.
I won't go on about it for ages - I'm sure those who are interested saw it! - but:
The interaction between the three Doctors was great fun to watch. Sure, it would have been nice to have had McGann and Eccleston in as well, but that would have meant less screen time and less interaction between the Doctors we did have.
Rose Tyler was surprisingly good as the slightly batty AI.
Bringing all the past Doctor's in via archive footage was a nice touch, without overdoing the nostalgia.
There were plenty of little snippets from the past that slipped in for those who were interested too.
Bringing the Thirteenth in as well was an unexpected, and very welcome, bonus!
The bit at the end with the curator... bordering on gratuitous, I think, although again, nice hat tip to a popular Doc (and there were 'round things' on the wall behind him... is the museum really his TARDIS?)
I'm pretty sure it all made sense in the bigger picture too - no glaring contradictions or loose ends left untied.
And as for relevance... well, it was all about Ten and Eleven confronting their lowest day, and when it comes down to it, the Doctor is prepared to own that mistake, and forgive himself for it. And in doing that, the weight is lifted, the guilt goes away, and a way to put things right becomes clear.