I am using Omega II, the tags are {0,1,1,2,2,2,1,0,-1,-2}. The only difference is that ace is neutral 0. (To balance the count, 3's tag is 1 instead of 2 in your system.) It is because...
For betting purpose, Ace should be treated like ten.
For playing purpose, Ace should be treated like a small card.
If you can keep the ace side count, you can enjoy the best of two worlds.
Add ace side count when you bet. (Four more aces in remaining shoe increases true count by 1. You bet accordingly.)
Adjust playing decisions based on ace side count. (Shifting indexes when you have hard 16. Ace rich in remaining deck helps doubling on 9, 10, soft 18, soft 19, soft 20. Ace poor in remaining deck helps doubling on 11, other soft hands, etc. IMO the last one is the most helpful. When you know there are very few aces left and many tens left. doubling on bad soft hand like soft 13, soft 14 against dealer OK up-card make you look like a dumb ploppy not knowing your basic strategy. After a while, you will notice ace poor and ten rich make dealer so easy to bust.)