It's not the instrument, it's what the musicians do with it. Over time, the versions started being remixed. The japanese woman who made the reggae preset containing the sleng teng already said how influenced she was by reggae to that point. The sleng teng version voiced by wayne smith is different to the one done later by the likes of terror, papa san in the 90s. Listen to this:
This music is a 50s recording(51), and it's mento but if you didn't know of African music or its sounds, you would think it was Cuban influenced, but this sound was common among all African groups in the diaspora and in Africa itself.
Johnny Osbourne 60's version.
Busy Signal's 2014's version on modernized dancehall. I think there's a yellow man version too.
These are just a few examples, if Jamaican music didn't have influences of its own, it would sound exactly like Hip Hop and RnB, and so would African music etc.