I like to do it all from the right side which is the only way that old table will tip. We tag and vaccinate first. Then tip and castrate. Then untip and brand standing. Then release and go. My numbers aren't big enough to worry much on time. And I like someone to hold the tail vertical when I brand. I've found calves kick less.
To be fair, I think tables are harder on the calves. A decent roper and enough help on the ground is smoother and less stressful. That's my opinion. Now getting decent ropers and enough help on the mugging crew is another story completely. Too many "cowboys" is worse than not enough. But a good crew can roll through a bunch of calves and make it smooth and easy. On calves and people.