i set the tool table up as follows
tool 000 Empty
Tool 101 general purpose turning tool
tool 202 parting tool
tool 303 boring bar
All are replaceable tip tools
You are making it a little hard for yourself, although it is possible to do it that way.
I start with the GP tool in Tool0, and reference all the others to it for both X & Z.
When I restart the machine, all I need to do is to rezero Tool0. Because you saved the tool table, all the others will still be synced to tool0.
If you change the tool tip in tool 0, it may be easiest to redo the lot.
Cheers