I agree. As long as anonymous voting doesn't cause obvious trolling/spam issues, it should be preferred.
One of the reasons I've always found Facebook off-putting and never used it (even before learning about the shady practices) are the very visible votes. I tend to overanalyse any reaction and would judge people based on their votes on my posts, even if I consciously tried to avoid it. Similarly, I imagine some other people would do the same and I'd feel like I'm under surveillance.
...One day, we might see the technique become so common that people will explain astral projections by comparing them to remote logins.