But you can certainly play on an ultra-cheapo violin, no matter what the pros say (at least, as long as it's not so cheap that it's falling apart).
When my son started middle school he told me he wanted to join the orchestra playing violin. My wife and I figured it might not last long so we decided to let him pick an inexpensive violin from an auction site. He picked a violin that was painted black and cost the princely sum of $60US. The orchestra director pulled me aside when I was picking him up from rehearsal and commented that she was very pleased with the tone of his violin and asked where I got it. She was quite surprised when I told her.
He was given the position of Second Violin rather quickly and used that violin all through high school in the school orchestra and the state youth orchestra including a show at Lincoln Center. He still has it but along the way he started on guitar and mostly plays that now. Best $60 violin eva.