I have but one problem with the question, namely the "my interpretion" part.
We have to stick to facts. So what is it we know?
- Finn wants to leave and not to be involved in the events that are about to unfold, thats why he talks to the two aliens in the cantina who agree to take him with them for services done.
FINN: You don't know the First Order like I do. They'll slaughter us. We >all need to run.
Rey is stunned.
Maz, not so much. She crawls back to her chair. She points to some pirates >in the corner.
MAZ: You see those two? They'll trade work for transportation to the Outer
Rim. There, you can disappear.
Finn sees them. Considers.
Afterwards, the discussion between Finn and Rey starts:
REY: What are you doing?
Finn gets up to talk to her.
FINN:(to Big Head alien) Don't leave without me.
Embarrassed, Finn moves her away.
REY: You can't just go. I won't let you.
FINN: I'm not who you think I am.
REY: Finn, what are you talking about?
FINN: I'm not Resistance. I'm not a hero.
I'm a Stormtrooper.
(STOPS HER)
Like all of them, I was taken from a family I'll never know. And raised to >do one thing...
(EMOTIONAL)
But my first battle, I made a choice. I wasn't going to kill for them. So I >ran.
FINN: Right into you. And you looked at me like no one ever had. I was >ashamed of what I was. But I'm done with the First Order. I'm never going >back. Rey, come with me.
REY: Don't go.
FINN: Take care of yourself. Please.
Afterwards - and thats the important part here - hes leaving and the event you are talking about takes place:
Rey looks at him, crushed. With quiet resignation, Rey watches Finn return >to the aliens... And all three head off. He gets to the front door and walks
through it. Rey is heartsick, but she turns as she hears the sound of a
young girl in anguish, crying. She follows the sound into the castle, >turning so she can't see that Finn has looked back at her one last time.
Firstly, if the voice a.k.a. the lightsaber was calling for Finn, he would know it because it would reach him. Or at least, would most likely reach him if his mind wasn't too clouded which would be at least possible consdering what step hes taking there - namely parting with the girl he obivously starts to be in love with, following their conversation(s) up to this point.
Secondly, the voice is the voice of a girl and I'm hereby assuming the "No! Don't go!" is a vision of the young Rey running after the shuttle of "her parents" taking of from Jakku, leaving her behind. This is supported as part of the vision is the shuttle of her parents taking off.
Lastly, Rey is following the voice and finds the lightsaber. What follows is an introduction to the force by Maz who - and here is where I start to make assumptions - is known to the force. She somehow got the lightsaber, but does not tell (yet) where she got it from. But she knows what the force is, how it feels and what it can do to someone. Taking this plus her sudden arrival after Rey found the lightsaber, its only leaving way for two options:
(1) Maz got down there to retreive something or saw Rey walking down to the basement.
OR
(2) And more likely, she has heard the voice aswell and waited for Rey to make her experience with the lightsaber because she says:
MAZ: That lightsaber was Luke's. And his father's before him and now, it >calls to you!
Meaning that she heard the voice indeed - when she could hear it and Rey could hear it, its highly likely other force sensitive beings nearby would have heard the voice aswell. Which, as Finn just walks by - leads to the assumption, that Finn is either, as said above, clouded and cannot hear it or - He is not force sensitive and for some reasons, the lightsaber kept by Maz called for Rey.