THis is a great post and it's been long overdue for Thin Lizzy to make it onto the YTVOTW.
That said I think that Gary Moore is a great guitarist in his own right but I never liked him in Thin Lizzy. IMHO the sound of Thin Lizzy that I still and have always loved is the combo of Scott Garham and Brian Robertson on guitar. If you want an example of the difference first listen to the Don't Believe A Word clip you posted where Moore converts the tune to blues, to this one where Brian plays the rockin' version like what's on the album: