From the New Advent entry on what you posted I assume you are hanging your hat on who puts his hand out first in order to deny that you are Semi-Pelagian. To me that is a distinction without a difference. You must cooperate with God on your own account to get into Heaven. That is somewhere in between full Pelagianism and Augustinism. If you don't like the label that is fine with me, but the beliefs are still there.
We stress that God has put out His hand to all first. If it was not for God, we wouldn’t be able to attain Heaven at all. Not semi. Just God.
And if God did not open the Via, then we’d all be headed to hell.