BATNA is not about bluffing. It's about you genuinely understanding what your best alternative is if you can't reach agreement. This helps you negotiate better.
So if you think you can definitely get better offers (even if you don't have one now), that will influence your negotiating position to go for a higher offer.
So if you think you can definitely get better offers (even if you don't have one now), that will influence your negotiating position to go for a higher offer.