The first report is from French AFP, not China. They did not mention India being involved in the rescue, only Turkey and U.S. Also according to your theory, giving Americans recognition is not in Chinese government interest either, and yet there they were in the report.
Official report from China:
Hijacked ship with 24 Chinese sailors in Arabian Sea rescued - People's Daily Online May 06, 2011
The 24 Chinese sailors on board a Panama-flagged bulk cargo ship, hijacked by pirates yesterday at the Arabian Sea, have been rescued, as Turkey and U.S. navy ships in the nearby rushed to them and chased away the pirates, Xinhua News Agency reported.
About seven suspected Somali pirates have left the ship, "Full City", and the 24 Chinese workers are found safe, locking themselves in the safety vessel of the ship,
the report said. Guarded by U.S. Navy ships, a group of Turkey Navy commandos boarded the pirated ship.
The pirates attacked "Full City" at midday on Thursday local time, and seized it about 450 nautical miles off the coast of Mumbai in India.
The China Sea Rescue Center earlier reported two Chinese navy ships patrolling in the Gulf of Aden were alerted of the hijacking and rushed to its rescue yesterday. The center also sent liaisons to nearby patrolling ships for help.
By People's Daily Online
According to this report, India was not even mentioned. Not trying to take away your thunder or anything, but I don't see any news outlet reporting about IN.
AFP: Cargo ship, China crew rescued from pirates: govt
Hijacked Chinese sailors rescued: report
Ministry of Defence, Govt. of India's official statement
Pirates Flee from Chinese Merchant Vessel Due to Prompt Indian Naval Action
On the morning of 05 May, an Indian Navy's TU 142 aircraft's persistant efforts led to pirates fleeing from a Chinese merchant vessel MV Full City.
At about 0845 hrs on 05 May 11, the Indian Navy received an SOS call regarding a pirate attack on Chinese merchant vessel MV Full City about 450 nm (850 kms) West of Karwar. The Indian Navy immediately diverted an IN aircraft and a CG ship.
The TU 142 (Maritime Reconnaisance) aircraft of the Indian Navy, which was on anti piracy patrol, arrived overhead MV Full City in less than 30 minutes. The aircraft observed a pirate mother ship next to MV Full City and an empty skiff alongside the ship.
The aircraft made a number of low passes over the ship and strongly warned the pirates, on radio, to leave the merchant ship immediately, stating that Naval warships were closing in the area. The aircraft observed that the warning had the desired effect and the skiff was seen fleeing from the ship along with the pirates and heading for its mother ship nearby.
As there were no surface forces in the immediate vicinity to board MV Full City and sanitise the ship, the IN aircraft maintained overhead MV Full City for over three hours assisting the rescue operation by co-ordinating with the NATO Task Force.
The TU aircraft finally left the area after over four hours, having successfully freed MV Full City from the pirate attack and, ensuring that surface forces were within range to proceed with the boarding and sanitising operations.
The operation highlighted the alacrity of the Indian Navy and also reflected adept international co-operation maintained by the Indian Navy as this operation involved co-operation with the NATO Task Force, the Chinese Task Force and the Maritime Rescue Co-ordination Centre at Beijing. The Chinese TF also thanked the Indian Navy for its prompt and persistant action leading to neutralising the pirate attack on MV Full City.
MV Full City now continues its passage through the waters of the Eastern Arabian Sea its safety assured by the sustained anti-piracy vigil being maintained by the Indian Navy and the Indian Coast Guard.
With independent as well as collaborative efforts the Indian Maritime Forces have reduced the threat of piracy in the Arabian Sea in general and the Eastern Arabian Sea in particular. It is particularly noteworthy that there has been a drop of over 80% in the number of piracy attacks in the Eastern Arabian Sea. As a matter of fact, in the month of April 2011, there was not a single reported piracy attack in the Eastern Arabian Sea. This demonstrates the nation's continued determination to assure safety of merchant shipping in the International Sea Lanes in the Arabian Sea.
Press Information Bureau English Releases
Its not from any stupid media but from ministry of defence's official statement so its 100% true.