There are undoubtedly talented people out there, without a teaching qualification, who would make excellent teachers.
The questions I would ask are:
Why aren't they already teaching, then? What is it about teaching that makes it such an unattractive option as a 'first choice' career?
Why, if someone is potentially an excellent teacher & keen to move from another field into teaching, would they be put off by the need to pick up a teaching qualification? I did my pgce in my late 20s after working in a different field. It didn't seem unreasonable then that I should spend some time being shown how to teach & supervised having a go, & have to pass some fairly basic standards, before being unleashed.
Finally, ok, so if we accept the premise are apparently all these brilliant natural teachers out there who are desperate to teach but sadly thwarted by the requirement to obtain a qualification. There will also, of course, be a supply of similarly unqualified people who are perfectly willing to have a go but totally unsuited - without the subject knowledge required, or the ability to convey it, or to keep order. How do we ensure that every school - whatever its location or demographic - gets its fair share of both ends of the spectrum?
I'm not a huge fan of traditional PGCE courses tbh, & I'm all for giving credit to potential teachers with valid experience outside of the classroom - train them on the job, fine.
But I don't think that removing the need for any qualification & allowing schools simply to recruit the best warm body available is the way forward.