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Why am I bothering to reply then? I thought it would be handy to mention (just in case) that the original PS2 plays most PS1 games fine, but there a handful of exceptions, so make sure you test more of your games first. For example, Metal Gear Solid: VR missions was one that I heard didn't work. Its a long shot, but I thought it was worth mentioning.
As for the rest of the games, if they still don't work, then perhaps if nobody else replies to this topic, you could try a few guys in the shops in town, and see if anybody else has info. You might bump into somebody who is willing to give accurate information, and you might find out for sure.
I can't imagine why PS1 playability would be sacrificed though - I wouldn't have thought it would take up much space in the new PS2s...