Hi,
Your story is partially correct and so is theirs.
T0101 calls Position 01 ( Geometry ) and Wear Offset 01, let's say you have a 12 station turret with 1 Tool per holder and you want different Wear Offsets per tool
then you use T0113 - T0114 - T0115, a number higher then 12 for the Wear Offsets, it is not common to use T0102 because 02 is the (first) Wear Offset for Tool 02.
For Tool T0202 you can use T0220 - T0221 - T0222 with Wear Offset 02 - 20 - 21 - 22 etc for extra Offsets, for Tool T0303 you can use T0330 - T0331 - T0332 with
Wear Offset 03 - 30 - 31 - 32 etc.
It gets harder when you have a Half Index 12/24 tool turret to set Offsets, or a 12 station with Y-axis with double/quad tool holders with left/right Offsets and sub-spindle.
The first two numbers are for Tools but actually the last two also, e.g. a double Tool holder uses the second numbers for the Geometry for that Tool. A second Tool on holder T01 can use T0150 to call station 01 with Geometry 50.
The numbers for that Geometry you have to store in GEO 50 and use WEAR 50 for correction.
It depends on the parameter settings (FANUC) how things work properly for the tool Txxxx Geometry and Wear offsets.
regards.