I have had more than one tell me that it depends entirely on their choice, and cannot happen any other way. What would you call that?
I even had one tell me that it 100% depends on them choosing Christ.
That's called "will-worship".
Here's a parody of Amazing Grace (I don't know who wrote it), which sums up will-worship very well.
Arminian Grace
--------------------
Arminian grace! How strange the sound
Salvation hinged on ME
I once was lost then turned around
Was blind then chose to see
What "grace" is it that calls for choice
Out of some good within?
The part that willed to heed God's voice
Proved stronger than my sin
Through many ardent gospel pleas
I sat with heart of stone
But then some hidden good in me
Propelled me toward my home
When we've been there ten thousand years
Because of what we've done
We've no less days to sing our praise
Than when we'd first begun
(Apologies to John Newton)