Yeah, that's the argument that people will generally make; like Andersonites for example. Turning is a result of repentance, not repentance itself.
For example:
And it came to pass, when Pharaoh had let the people go, that God led them not through the way of the land of the Philistines, although that was near; for God said, Lest peradventure the people repent when they see war, and they return to Egypt:
-Exd 13:17
The repentance in this verse is the the regret (which also means grief and sorrow) of their decision. Their regret results in them turning (or in this case, RE-turning) to Egypt, but their regret is not turning.
Another example:
And it repented the LORD that he had made man on the earth, and it grieved him at his heart.
-Gen 6:6
I've listened to wicked preachers teach this passage means that God "changed His mind." If God changed His mind about creating man, then none of us would be here today. The grief of God's heart (i.e. repentance) results in a change of course.
Turning is a result of repentance, which means it is almost implied that one turns from his ways when coming to genuine repentance, but saying it DIRECTLY means "to turn" is the problem because that makes a whole lot of Scripture contradictory. This is why new-age versions and lexicons and concordances and all the other garbage people seek after is so dangerous, because one slight variation of context, definition, or doctrine can result in us turning God into a liar, which is what unbelievers do, including those who CLAIM to believe, but are false converts--they will not acknowledge that's what they do because they do so without even considering it.
He that believeth on the Son of God hath the witness in himself: he that believeth not God hath made him a liar; because he believeth not the record that God gave of his Son.
-1Jo 5:10
(That includes the doctrine on repentance that Jesus taught!)