What if a lawyer hired by a company is the person initiating the registration?
Company -> hires lawyer to register Company2 -> Company2 -> hires lawyer to register Company3 -> etc.
Company -> hires lawyer to register Company2 -> Company2 -> hires lawyer to register Company3 -> etc.
Beneficial ownership is an old legal concept. It traces through entities to natural persons. Until one gets to the controlling humans, the search keeps running. It is a powerful and costly tool.
So short answer: no, daisy chaining lawyers and entities wouldn’t hide you.