Running a Bridgeport I have plenty of vertical space so leaving the swivel base on is a no-brainer simply because it’s so easy to get the vice dead-nuts to the travel on a job when it has to be right. Usually second or third ops when I have to match what has already been made.
Swivel base as a general purpose, set any angle, device is an oversold concept as setting up a precise angle isn’t a trivial task. But if you haven’t got a rotary table a swivel base can get the job done a darn sight cheaper. Unless it’s a very shallow angle or simple 90° rotation I generally figure it’s easier to dig out one of my rotary tables. Most of the things I see that need to be rotated want more than one angle anyway so resetting a swivel would likely be just too much trouble.
Generally the thou or two error over the four inch jaw with of the vice(s) I normally use resulting from simply putting on the table and pulling back against the slot before finally bolting down is near enough. So the swivel stays where it was when removing and re-fitting. If the whole job is done in that vice a bit of thought in pre planning can usually eliminate any errors due to flipping or rotating the job.
With more typical Model Engineers machines the inch or so of vertical space occupied by the swivel is often too valuable to waste. So dumping the base and adopting other tricks for accurate vice alignment is the way to go. Did I tell you how much I hate keyed vices, especially when they decide to get stuck!
Trouble with the Kurt system of selling vice and swivel separately is that both vice and swivel are rather deeper than they need be compared to a properly designed and integrated unit. Over the years I’ve done a few back of the envelope sketches of integrated systems that gained perhaps 1/4″ of height relative to a Kurt style. Never went anywhere because the effort always seemed too much just to show off. If I’d cottoned on to laser cutting and Chick vices a lot earlier a real design in real metal might have happened.
Clive