Depends if you believe it's the same god or not...

But if we both claim to know a guy called John Brown, but I say he's kind, generous, hard working but a little dim and you say John Brown is hedonistic, self-entered and brilliant, are we talking about the same person?

Normally if our descriptions are similar enough that we can chalk it up to perspective, we might think it is. But if our descriptions of the person become strongly contradictory, we must conclude that we are talking about a different person.

Now if we both claim that there is only one John Brown in existence, then we might be willing to overlook slightly more of the inconsistencies, because the alternative is that one (or both) of us is misguided/wrong/a liar.