Collectively since the mid-nineties lockout till now, West went 74-53 in matches in the SCF. There have been 6 multi Cup winners, of which 4 comes from West.
You don't think there is a pattern?
There is a pattern of dominant teams getting to the Cup finals regularly, not a pattern of the West conference winner automatically winning the Cup.
There were more dominant teams or teams that made the Finals more than once (Wings, Avs, Stars, Hawks, Kings, Ducks) from the West than the East during this time period. The East powerhouses or multi-SCF teams (Devils, Pens, Bruins) are 7 and 3 in the Cup finals.
When a non-powerhouse team from the West made the Finals as a one-off, they tend to lose (Flames, Oilers, Canucks, Sharks, Preds).
I don't think you can categorize the whole Conference as being better than the East.
Here are their standings over a ten year period:
Nords/Avs (95-04) - 1,1,1,2,2,2,3,3,4,4
Pens (07-17) - 1,2,2,2,2,4,4,5,5,8
The AVs duo was on a clearly better regular season team.
The average Seed # they played was 4.6 for Forsberg/Sakic and 4.7 for Crosby/Malkin.