You're reading too much into this. China (and every other country) regularly comment about supporting the relationship between other countries. It's a friendly gesture.This sounds really wierd to my ears. It is as wierd as if China saying "We welcome Turkey developing relationship with countries in the sinosphere" regarding Turkey's relationship with East and Southeast Asian countries. The expression sounds as if China need Turkey's endorsement to develop relationship with central Asian states.
Many in Turkey have a negative view of China and its influence in Central Asia, and so the FM is signaling that the government of Turkey doesn't agree with such a view and supports China.