HS & Eye Problems
Characteristics of inflammatory eye disease associated with hidradenitis suppurativa: There is one small study with 20 participants, which may indicate a "potential" association.
NOTE: Thirteen out of 20 patients (65%) had multiple autoimmune and/or inflammatory comorbidities. That could have contributed to the eye problems. Leaving seven participants only having hidradenitis. The study is way too small to be able to say HS and eye problems are definitely associated.
Until there are further studies with several HS participants (a large study). With no other contributing factors (illnesses). This answer will remain unclear.