You’re right that all citizens don’t get equal use of public services, but I’d say that museums, parks, and especially libraries are particularly suited to reducing inequality. Every public library I’ve ever been in serves a large population of homeless patrons, and most now provide internet access. I’d say that public libraries are particularly redistributive as they provide safe, quiet places to study, work, and learn; especially valuable for children growing up in poor areas. I’d also guess that most of the wealthy use them only rarely.

Parks certainly provide quality of life benefits to everyone. Museums, because of entry fees may be less redistributive, but most have free days or other arrangements for low income patrons. I’d agree that public works aren’t all equally valuable to all members of society, but many of them are at least close to that, and some things such as library and telecommunications access are more useful for the less affluent, since the affluent will frequently pay for easier access to the same services.