Moving multiple pursuers - what happens?

Say I have two units fighting an enemy unit (“E”). Unit 1 engages the enemy from the front. Unit 2 engages from the flank. It looks like this:

1
E 2

I win the combat and we roll for flight and pursuit.

E rolls a 7 to flee. My unit 1 rolls a 6, failing to beat it. But unit 2 rolls an 8, managing to cut E down. E is then removed from play.

It is now time to move the pursuers.

BRB says I can move the pursuers in any order I like. As far as I can see, this has nothing to do with which unit rolled higher for its pursuit roll or whether either unit managed to cut E down.

So I choose to move unit 1 first. This then blocks unit 2 from moving as unit 1 is now in their path and I need to be at least 1” away.

The reason I decide to move in this order is that I don’t want unit 2 to be pulled out of position and expose its flank.

Am I right? Can I do this?

Thanks in advance.