There's 'sourcing agents' whose job is to coordinate the garages. They don't work for any of the garages but as a westerner you'll get in touch with the "electric motor guy" who knows all the factories to contact for that particular purpose. They'll meet you at the airport gate and you essentially pay them as a guide to negotiate the shanghai business environment.
That's what Naomi Wu really did while producing influencer type maker videos. "She knows Shenzhen like the back of her hand." Someone who bought her services describes her leading them confidently into sketchy alleys and up back stairs to unmarked doors, behind which were people making the thing they wanted.
She has a book about how to get electronics done in Shenzhen.[1] There was a previous edition published by a westerner, but Wu, a Shenzhen native, updated it. In ten years, Shenzhen changed a lot.
[1] https://www.crowdsupply.com/machinery-enchantress/the-new-es...
Yay and nay. That's only for very small manufacturing stuff. To assure the quality control and lower the price, it will eventually head to the large scale factory. The difference between what happened before and now is that, the minimum order quantity has gotten so low (thanks to CNC and computerization etc), now bigger factories can even handle MOQ down to 100.
I would advise you against going to those smaller factories -- QC is a nightmakre. Problems will arise. When you go to Canton fair or Yiwu for trade shows, I always, always, always recommend you to make a factory visit, and for the first batch, have a reliable Chinese person you trust to fly there and do the QC (if you hire someone that you barely know for QC, the other side might just bribe him off) and you will end up getting garbage when it gets to Long Beach port.