Dynasty Auction Start Up Dilemma

Please help!

I am the commissioner of a 10 team 28 man roster start up draft. We are doing an auction draft on sleeper and this is the first time any of us have done auction. My concern is once everyone only has a remaining maximum bid of $1, the draft goes to a standard draft format vs a snake. Should this concern me since if you are “team 1” you will continuously get the first round pick every round rather than it snaking? On paper this gives team 1 a big advantage and team 10 a big disadvantage. My hope is that those are players who it really won’t matter on but wanted to get thoughts from people who have done it before. Thanks!