Would you still have a relationship with them

I met some people and they seem like they have a very good personality and I love to talk to them except they told me they don’t like when people lie, I’ve even caught onto that they would accuse people of stuff. Obviously nobody likes when people lie. I questioned how I could go about this since we haven’t been talking long and I want to have a relationship with them. I also found it strange how they’ve told me that the number they gave me was theirs then it turned out to be their bf number, someone else close to them told me.