As I understand it, just as in the Commons here, although it's technically possible to do this for a controversial issue it's basically pointless, and so it's actually used when it's obvious how the vote will go and nobody cares.

You don't need a rollcall to know why you lost if not even enough people were in favour of your proposition to even force the actual count.

The intended reform would be that the rollcall would happen, yet the details (beyond a total Yes/No count) would not be released, presumably even to the voters themselves. This is a problem because it's hard to maintain trust in such a system.

For popular elections the scale is such that election monitors on behalf of interested parties can easily see a bunch of administrators correctly tallying votes and not focus in on the fact that, hey, voter #283204349 picked Jim Smith for Grand Leader -- however when you're talking about exactly 100 senators that's surely much harder to get right.

What? Republicans in Congress will routinely vote against funding legislation and then show up at ribbon cuttings bragging how they fought to get the funding for their district. Just out and out lie about voting for it.