How bizarre - I just listened to them both and reached exactly the opposite conclusion!
On the Woolley version, that guitar sound and the signature lick he plays at the end of each phrase are totally late 70s ... that sound and that lick were everywhere in the music of the time, and to me that version sounds really dated.
On t'other hand, the Buggles version was uber-modern in 1979 partly because there was no guitar at all, and it still sounds strong today.