Growth is irrelevant unless you're a net-contributor. The EU really doesn't need more underdeveloped economies to support, it needs to get everybody to a similar level and deal with the tax havens, not do some SV-hypergrowth model where the issues will magically resolve themselves if only you can have 15% population growth by acquiring more members.
Yes, and that's great for China. But for a country to benefit the EU by becoming a member, it would have to be above EU average and be a net-contributor. Turkey isn't anywhere close, so it would be another money sink for the EU.