So I have found the source of my issue
It's the Logic Pro, Apple Sound Library.
Despite promising you that you can relocate it and even providing a handy menu item to enable you to do this, Logic will not accept its Sound Library being on anything other than my startup disc. Anything other than this causes Logic to either provide an error message saying it can't find the library (because I have had to disconnect the external HD it was on) or it just crashes disgracefully.
My solution has been twofold.
Having had to to redownload the application, remove all my peripherals and install them one by one (to ensure that they weren't the issue, despite working perfectly with every other audio application I use), remove and install all my many plugins one by one (because why would they work perfectly in every other audio application and yet cause Logic to have issues eh), I've installed the absolute minimum Apple Sound library on my startup disc. So that's 33Gb of stuff Logic says I need, but won't let me put where I want it to go.
I'll not be downloading any of the optional Sound Library stuff. Apple's internal HDs are expensive and fragile enough that I don't want to risk any of Apple's own stuff giving me more problems.
So after two days of troubleshooting only to find out that it's an Apple issue, I've sorted it out and Logic actually deigns to load on my £3,500 Apple computer.
I'm thankful because it means I can actually load all the work I've done over the last few years and move it to an Audio application that might actually be expected to work reliably.
Hope this helps