David - Yes, a float is WAY easier than a chisel when it comes to making adjustments to either mortises or tenons. The problem with using a chisel to do this is that it's almost impossible to telegraph your intent to the chisel - it will want to follow the path of least resistance, which in this case is along the grain. A float works more like a file or a rasp, and will largely ignore grain variations.
If you decide to get a joinery float, remember that you must sharpen them - they are not "ready to be used". Sharpening is quite easy with a 3-corner saw file (I would recommend the 7-inch regular taper for this job, though you can use smaller and thinner ones).
And to reinforce your instincts - when using hand tools, there is almost no advantage to making any joinery element uniform and identical to one another. That's a recipe for uncontrolled variations that result in sloppy joints, and is an attitude/way of working that's a product of power-tool woodworking. When doing these operations by hand, there is very little labor savings trying to make parts uniform, and in many cases, it takes more labor than fitting one piece to its mating joinery element.