Firstly the component method probably won't make a noticeable difference.
(As long as RGB is being fed via the SCART)

No, SCART1 is RGB (but I use it for my digibox). SCART2 is just a standard
one, which I'm having to plug my DVD player into..

If the jacks on the player and Yellow, Red and White it sounds like
composite (not component) video and left/right audio... You will want to
avoid composite video at all costs!

Ah, okay. So composite leads (Y/R/W) just wouldn't produce any picture when
connected to component inputs? So I need component leads? That would explain
it!

What's the DVD player?

Toshiba SD210EB player. The TV's a Toshiba 37XV505DB.

Thanks for replying, btw! Really appreciate any help. It does seem like I'm
just confused about composite and component leads... doesn't it?

Dan