In theory, yes. Realistically, you won't end up with a different provider for each participant. I have plans that will consider the participants choice, but the PA will still make the call on whether the provider is acceptable. Those plans run between 40-100 participants and at most 10 different providers (which is still a PITA)
I will also note that while I work with plans like this I do not recommend them. The are expensive, labor intensive, and full of potential issues. It is NOT an easy out for a sponsor who does not want to be troubled with 404a-5, duty to monitor, etc. If anything, the duties and responsibilities increase exponentially.