The older I got, the more I appreciated how cool the Archimedes could be (especially after seeing Zarch which I think was more technically impressive than anything on the Amiga 500 at the time - I might be exaggerating), but it was a rare and strange beast mostly seen in school IT departments, and the teachers even then tended to be quite protective of the expensive machines.
Being as it was a relative of the BBC Microcomputer, it would always have been an uphill struggle to win the hearts of school kids wearing their parents' wallets down at Christmas time, and was anyway a lot more expensive.
Everyone had Amigas because there was a very healthy Euro/Global trade in pirated games from crackers on BBS' - Amiga had an ecosystem useful to schoolkids, Archimedes did not.
That said - I too would love to have a peek at an alternate timeline! I distinctly remember sitting as an UnMin in Gatwick airport reading some Acorn computer magazine heralding the new age of the Archimedes and getting quite excited. Oh well.
- ed
additionally - I think the demo scene tended to be very tightly wrapped into the cracker/pirate scene, ie. they were pretty much one and the same.
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Looking back now, the C64 was clearly a better machine than the Speccie, haha.
For instance, this one was excellent:
If you were a serious user of a 64, there was no forward upgrade that didn't consist of chucking all your software and data. Yeah, you could get a 128, but that was frankly close to obsolete the day it launched. If you have to abandon your existing investment, the bargain-priced Atari ST and the collapsing price of PC clones made them reasonable shortlist competitors against the A500.
It would have been interesting to say "here's a $100 module that lets you connect your 1541 and read the discs, and run your 64 software in a window."
Ah, Nimbus.
In my teens I was briefly root on our school's Nimbus network after tampering with a boot floppy on a server that wasn't physically secured...
Was a great feeling for a few hours ... then I felt very guilty and 'fessed up to a teacher :)
There wasn't even a place as the "underdog alternative" for the Archimedes, since that position was already taken by the Atari ST.
This matches my experience, I knew the founders of LVL Rocom, Radio Rotor and several other companies close to the Acorn eco-system and typically the Archimedes was an upgrade path from the Beeb.