Alternate picking technique and Fade to Black solo

Hi!

At the moment I am practising Kirk Hammett's Fade to Black solo (the intro) with the help of the videos from freelicks.net.
Since I have some practice in playing scales the work of my left hand isn't the greatest problem.
But I really have problems with my right hand (picking hand), more precisely with the alternate picking technique.
For the moment I play the first measures using downstrokes and upstrokes without a special pattern.
For example:
If I have a measure that has only eighth notes, I play downstrokes on the counts 1, 2, 3 and 4 and upstrokes in-between.
But in Fade to Black there are many legato techniques like slides, bends, hammer-ons and pull-offs.
The problem I have is that I don't know if I have to play a downstroke or an upstroke after some legato notes (which aren't picked).
Of course I could find it out by counting but I find it rather difficult and annoying if I have to do this for every measure and try to remember on which note I have to play a downstroke or an upstroke.

Now I wonder if it really matters playing the right patterns of downstrokes or upstrokes.
I am not 100% sure because the video is quite small, but I notice that Kristofer plays downstroke-upstroke-upstroke-downstroke for the first 4 notes of the solo.

The tab for this passage is:



Now, wouldn't it be more correct if the combination was downstroke-upstroke-downstroke-upstroke or doesn't it really matter?
I hope it doesn't because that would make it easier for me to play such passages.
And I don't want to learn some bad habits, so I want to be sure.

Thanks in advance!

Regards,
André