The idea is that secret voting rules out anyone being individually held liable for how they choose to vote. The sort of pressure OP is talking about is more va

The idea is that secret voting rules out anyone being individually held liable for how they choose to vote. The sort of pressure OP is talking about is more vague: the pressure of having some skin in the game. I can't imagine what elections would be without that pressure. The democratic spirit of "what he/she deems best" doesn't rule out the influence of reality over voters' decisions.