"To share the affinity" means to have a similar liking or strong connection with someone or something. It implies that you feel an emotional or positive bond towards them or it. Full definition
I know not all people share my affinity for black walls and I can totally understand why. (eclecticdarling.com)
They grew to share an affinity for celebrities, for people who perform. (si.com)
This exhibition, a curatorial project by Regine Basha, springs from a call to those who share an affinity with Sol LeWitt's legacy as a conceptual artist, to those who knew him and those who did not — to anyone who has ever wondered, «What would Sol LeWitt like?» (museumpublicity.com)