I've been to a ton of funerals, and none of them were private. I guess it depends on the person, location perhaps, etc? The obit will usually give funeral arrangements, for anyone interested in attending.

I would most definitely go. No one would know you were a client, and even if they did, you were paying your respects. Nothing wrong with that. If you don't go, you may eventually wish you had. I guess I'm thinking about how I would feel....sorry!