
I don't think the order is irrelevant. In theory we play each team twice, but in reality the team we play the second time is not going to be the same as the first. We play the squads twice and the team in name twice but thats all. Injuries, transfers, form, previous games and forthcoming games can make a team change how they play.
If you have a few tough games back to back this can affect confidence and morale, fitness, increased risk of injuries and suspensions as the players dig a bit deeper.
If you have a run of a few 'top 6' games back to back you could very well easily end up dropping several points and whilst the other teams have easier fixtures you could suffer in points, and whilst you can catch back up when they play harder games you still have to actually claw it all back.
The fixture pile ups (xmas) you want easier games because of the close nature of the fixtures a small injury may keep someone out for a few days which you don't have, so you hope for these periods to be easier.
If you had to play Man Utd - Chelsea - Arsenal - Liverpool back to back and struggled in the first two games, how much confidence would they have to go into the next? Wouldn't you see the advantage of having an 'easier' game to break that up.
Its all relative and subjective, but I like the look of the fixtures, it seems nicely spread with a good run in.