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Nearly all software that doesn't work on the Apple //e Card for Macintosh LC is likely because of accesses to $C029. This location is the NEWVIDEO register on the Apple IIgs which is used for, among other things, turning on and off super hi-res graphics modes.
On the //e Card, accessing $C029 switches out the main firmware in favor of the active alternate firmware bank. A subsequent attempted use of common firmware routines will not go well.
Bitsy Bye, as included with ProDOS 2.4.0 and 2.4.1, accidentally access $C029, switching out the main ROM bank. This causes a crash when it tries to use a firmware routine.
A fixed version of 2.4.1 is available on this page.
Two parts of the program access $C029 without checking to see if the machine is a IIgs or not.