This may help you understand the BIAB choice of chord names.

In the file, X/BB/Data/pgshortc.txt you will find this text:

; Note these are already defined in BB, and you can't over-ride these shortcuts
;sus2@2 add2@2 m+@m#5 dim7@dim 7aug@7+ sus4@sus 11@9sus 9sus4@9sus
;13sus4@13sus add9@2 7sus4@7sus s@7sus h@m7b5 d@dim J@MAJ7
; f@7b9 m7+@m7#5 NC@C. no chord l@7Alt u@(Blues) 7u@7(Blues)
; Lyd@lydian Lyd@lyd Lyd@4#

This makes it clear that BIAB considers sus2 to be 2, add2 to be 2, and add9 to be 2.

Bob is correct that they will generate differently but BIAB treats all three as a 2 chord.

BIAB 2025 Win Audiophile. Software: Studio One 7 Pro, Swam horns, Acoustica-7, Notion 6, Song Master Pro, Win 11 Home. Hardware: Intel i9, 32 Gb; Roland Integra-7, Presonus 192 & Faderport 8, Royer 121, Adam Sub8 & Neumann 120 monitors.