Ed Beal's pulling advice is as good as advice gets.
The electrician promised to hook up the meter, that was not the same as telling you to pull the wire before the meter is installed and then thread the wires through the meter KO. No electrician would say that. I would definitely install the meter before pulling wire, because not doing so is a blatant code violation.
I realize that's a complication you may not have figured for, but that's why being your own GC is hard.
Expecting the electrician to thread the wires through the KO would not be a thing I would do, unless the electrican told me to. You are just begging for a much bigger complication than you have now. It's hard enough finding an electrician willing to follow behind a DIYer and "turn the last bolts". Don't give them reasons to doubt the arrangement.
It is more difficult to guide the wires around the meter pan contents, but not that much more difficult - the wire needs to be guarded and guided anyway on the feeding end, or pull forces will greatly increase as Ed says.
As far as which direction to pull, you need to have a plan and the necessary equipment, and you need to know you have it. So I will actually go against Ed's advice for several reasons, and advise feeding at the meter and pulling from the flat end. The difficulty is greater but that's my point: the job will start hard and get slightly harder as it progresses, so you will sooner know if you need more help. The other direction is easy most of the run, and the last 6’ is like hitting a wall - suddenly quite hard. Again this advice is for a first time puller; Ed certainly doesn't need it!
Also, since I am advising pulling through an installed meter pan, it's easier to guide in loose wires than pull a taut line.
Also, I would ordinarily want the pull rope to be on the end with the unfinished conduit; it's perfectly legal to assemble conduit over a pull rope :) I would only pull the cable through as the power company instructed because they instructed that.
But I maybe wouldn't do it until after the inspector came and went. Last thing you need is to be caught in the crossfire of a jurisdictional squabble between inspector and Utility.
Also keep in mind site security. Aluminum is cheaper, but it's still worth some money. Don't want to have the power company calling and saying "where's the wire" or "why'd you pull it too far" when vandals or thieves did that.