You can set the tools on one machine and move to another- assuming same spindle type, etc. I believe the TS2x series are guaranteed accurate to 1u, but all of my renishaw probes have tested well better than that.
Having a tool preset probe in the machine opens up a whole new level though. Not only is it used for presetting tools, but can also be used to check tools for wear while machining.
Drill holes in the part with tool #8, then check the drill's length. If the drill is .003" too short, it's worn and have the control change the program to tool #9 (same tool, new, in another holder) and rerun the drill routine.
Or if the measurement of tool #8 is .100" too short, then stop for an operator before cramming a tap into those holes.
You can kick some serious ass with a presetter in the machine... VERY easy to make that investment back.
Minimize broken tools, catch worn tools - and you now can run tools until they get to your dimensional wear limit. No need to pull all the tools out after x number of parts, run them until they are some amount shorter or smaller in diameter.
but your presetter is still cute.