If Gray didn’t want to live with Juvia he wouldn’t have no matter what, there’s no such thing of him being forced to, even if he was he would’ve been gone by the first week which he didn’t. The only reason he left was because he needed information he couldn’t obtain by staying at home for his goal which Juvia understands is very important to him, if not he would’ve lived with Juvia the whole complete year.
If Gray didn’t want to be anywhere near her he would had disappeared from her charts the first days, he had no problems and was capable of doing that when he went to avatar. He was capable but he didn’t at the end.
Also if Gray didn’t want 100% to be with her, Juvia would had backed off. That is the difference, we see Juvia as a person who at the end of the day cares for the people she loves and would do anything to keep them safe, someone who has passed depression and is slowly growing, finally having friends and a loved one who accepts her as she is while antis see her as simply a stalker which is highly convenient for their own ships. Juvia at the end always places Gray first and his interests she would had left him alone.
There’s no such thing as a stalker victim relationship and this was proven by the fact Gray keeps slowly showing his own feelings. Gray wouldn’t had gone back for that scarf, he wouldn’t grabbed hold of her hand, or think of her greatly when he thought of dying or cried on her chest.
The point is no matter what Gray wouldn’t have lived with Juvia if he didn’t want to, he could had left her anytime between those six months.