A guitar I'm looking to buy (acoustic flamenco guitar, Alhambra) has a crack in the top (is that the correct term for the "audience-facing wooden panel"?), running closely alongside the neck all the way from the hole to the edge where the neck leaves the body. The crack has been repaired by a professional.
I assume that the crack is properly repaired, so that there is no risk for the crack reopening, growing or causing further problems (I understand that cracks running perpendicular to the neck are more dangerous in that respect, since they are constantly under stress due to string tension). But is it likely that the sound of the guitar is affected by a crack such as the one described? I am particularly worried since the crack connects with the sound hole.
(EDIT: I realize the question in the title is more generally posed than the one in the post. However, a more general answer, discussing different body crack types, would also be very welcome)