From my experience, some positions are harder to fill than others.
Harder: ML, MR, AML, AMC, AMR, DL, DR
Easy: GK, DC, DMC, MC, ST
If I am determined to win an auction against you, I bid once per round and keep qualifying for the next round. As cute as your plan is, being the "top bidder" doesn't make a difference. I have to quit bidding for you to win.
I don't care about snipers anymore. I decide whether I really want a player or not. If I say "yes", I dig in. I got 6 players to overhaul my bench today - I'm keeping my starters - and none of the auctions went past knockout round 6.