First of all, I don't know if I'd ever advise a client to do this that early in the investigation. Leaving that aside, let's go down the hypothetical road that you do get to that point that, yes, you probably would get your own independent expert as well.
The CFS in Toronto is open to both defence and crowns, and they do a very good job of being independent in all of that. But generally speaking, for any sort of DNA testing that I've been involved in in our practice, the bill's been footed by the client.