No, it dosn't. The JAA do not restrict the PPL to 3000m but only to the VFR minima of 1500m. The UK restricts a UK PPL to the 3000m.
Dunno what more I can add, homeguard. I've cited the restriction: ANO Schedule 8 Part A Section 2 PPL(A) 2(b).
It doesn't seem anomalous that a pilot is permitted to fly in reduced visibility enroute but requires certain conditions for take-off and landing, does it?
Gertude, looks like you've got your head around it just fine.