oh lords, the family tree.
It is a godawful mess, but yes, technically The Junior King Bokeny is Pozsony's (the current King) cousin. However, the previous king, who died in 1208, was the Bokeny's father (Saul).

To make things even worse, the king before that who died in 1206 was Pozsony's father (Mate).
And the king before that was the cousin of the great grandfather of both Pozsony and Bokeny, who also died in 1206 (Sandor).

I suppose we could say that there was a civil war after the death of Sandor between Saul and Mate. Saul killed Mate and took the throne, but Pozsony reclaimed it in 1208, killing Saul.

So...
Make of that mess whatever you like. You can use the little theoretical history I stated, or you two can agree on something else that is a bit less convoluted.