well, we can discuss about that.
There are different part numbers for NSX-R batteries available, yours doesnt match any of the numbers, which I got from Honda R&D.
Here is a picture from the 1th JDM NSX-R in Europe from year 2003, it has the JDM R battery installed too.
If you take a look at one of my previous picture, you can see its the same
battery type.
It's very possible then that there were different batteries used and part numbers for th year of car.
As my car is based on NA1 I choose the numbers based on that, the last numbers I posted are from the last year of NSX-R produced.
I think 02 03 NSX used the S6M J03 and 505 part number, which would indicate a different battery again! Possibly yours? 38B19L