But then the question becomes, "if you don't want private votes and you don't want public votes, what do you want?"
Something else which hasn't been suggested yet. Basically it could be that you are not opposed to the secret voting in principle, but you think current proposed options are not fully baked yet and you also think that current status quo is sub-optimal too.
Eliminate voting?
Maybe you want for some votes to be public and some votes to be private. Putting "all votes should be {public,private}" in the constitution prevents that.