I've been lurking for a while now, but I think I'm finally ready to add what information I know about the distribution ROM. I apologize if I repeat something that was already known, but I checked the last 5 or so pages, and I didn't find the information I have.
The actual script data for the Aurora Ticket distribution starts at 0x12728. It is the raw data - unencrypted and uncompressed. Noteworthy is the fact that the checksum and header are not stored here. I edited the script to give me both the Aurora Ticket and Mystic Ticket, and it worked! This means the checksum is calculated dynamically, rather than stored elsewhere on the ROM.
The Wonder Card starts at 0x14FB8. At least, that is where the checksum would be. I haven't confirmed if the checksum is calculated dynamically, but I can't find it stored anywhere in the ROM, so I'm assuming it's dynamic.
I tried my hand at disassembly. Here's what I've learned:
The disassemblers designed for generic ARM7-TDMI code don't like disassembling THUMB code.
The disassemblers designed specifically for the GBA (e.g. luvdis) don't like disassembling ARM code.
Overall, I'm bad at reading assembly code.
Something (maybe) useful: the Wireless Adapter uses the 32-bit "normal" serial communication mode. (It sends data by writing to register 0x04000120.)
Not strictly about the distribution ROM, but the "virtual" script functions (opcodes B8 through BF) can access data in the Wonder Card and Wonder News sections. Thus, a properly crafted Wonder Card could add an additional 320 bytes of script data. Finding a way to distribute Wonder News would add another 440 bytes of usable script data.
I've been doing some digging into the decompilation projects, and I've found two functions that might be responsible for Emerald rejecting the distribution:
"ValidateMEventClientHeader" / "sub_801B6A0"
FireRed: https://github.com/pret/pokefirered/blob/2880cf2a51ea36fa36f00d9ecf07177e5955c882/src/mevent.c#L788
Emerald: https://github.com/pret/pokeemerald/blob/4dd3cc7b7691afb8ecd2e8af8b2ebfa717dd2414/src/mevent2.c#L380
"CheckCompatibility"
Ruby: https://github.com/pret/pokeruby/blob/f839afb24aa2c7b70e9c28a5c069aacc46993099/src/mystery_event_script.c#L38
FireRed: https://github.com/pret/pokefirered/blob/2880cf2a51ea36fa36f00d9ecf07177e5955c882/src/mystery_event_script.c#L30
Emerald: https://github.com/pret/pokeemerald/blob/4dd3cc7b7691afb8ecd2e8af8b2ebfa717dd2414/src/mystery_event_script.c#L28
Given that "ValidateMEventClientHeader" appears in FRLG and Emerald, but not RS, I suspect it is this function that is used for the Wireless Adapter, while "CheckCompatibility" is used for the eReader. Regardless, as long as it is one of these two functions, the remedy is the same. Replace a 0x1 somewhere with 0x5, and replace a 0xF with 0x20F or 0x38F. Unfortunately, like the checksums, these values do not appear to be stored directly on the ROM. They are likely caused by MOVS or ADDS instructions, instead.
I hope this helps, and let me know if there's anything else I can do to help.