I have done extensive searching, and I cannot find a way via native AppleScript to get/set mouse position. There are several shell scripts to do this (see MouseTools), but I’d prefer not to use them, unless there is no other choice.
I did find this scripting addition:
AppleScript Toolbox 2.0
Unfortunately, it has issues post El Capitan:
AppleScript Toolbox hasn’t had many updates lately. The latest version is stable and didn’t require any updates. However over time there are some functions that have an deprecated state in Sierra and should be updated properly.
. . .
Because Apple officially dropped support for Mountain Lion last year I expect that support for Mavericks will be dropped by the end of this year. Therefore I will release AST 3 within a few weeks where all commands who uses deprecated resources be updated.
AST 3 still has not been published.
So, is there an ASObjC method to get/set mouse position?