This thought is completely ignoring Over Heaven and only using what we got in the manga. The World copying other powers is what originally was going to happen but Araki decided it was too stupid and just made it have time stop.
It's unlikely that The World was Jonathan's stand, as stands represent their users.
Jonathan's stand would be something different, seeing as Joseph's stand was different from The World as well.
Star Platinum is a high speed, precision, and strength stand, and also able to manipulate itself similar to the techniques done by people who used Hamon.
Star Platinum is
fast. It simply brought things back to Jotaro, things Jotaro wanted to pass the time, or things he subconsciously desired.
He could have been reading the manga and thought 'hey this shit is pretty cool, i want that bike/radio/random object'. Or I'm thirsty, I wish I had a beer to chug back and Star Platinum snatched it from a store or bystander. Jotaro walks out of restaurants without paying all the time, I'm pretty sure Star Platinum would care even less about stealing what it's user wants.
A similar thing happened when he fought D'arby, he light a cig when D'arby wasn't looking, and snatched a drink again when he wasn't looking. It's the reason D'arby lost, he was freaking out because he though Jotaro's abilities were similar to Dio's, but Star Platinum and Jotaro just move quickly.
Ora Ora Ora is pretty fast you know.
Star Platinum's inherit strength is adapting to a situation, another call back to Baoh/Kars. It can learn and react at extremely high speeds.
Zoom Punch and Star Finger being the prime example, I would also say when Star Platinum sucked up Justice, it could be a ridiculous tie in to your lung capacity being huge with Hamon.
Jotaro learned to move during time stop by learning it's concept and experiencing it, Star Platinum's precision and speed evolved into learning to move during time stop subconsciously.
It's just a
coincidence that Star Platinum and The World ended up being extremely similar stands build wise
If Jotaro never gets in contact with Dio, I'm sure something equally as stupid a power as time stop can come from combining Hamon and Star Platinum. Having Stands develop bullshit just because is par for the course, it's not something to stress over too much in general.
I mean we all know what Johnny did with something that didn't seem too strong at first.