Here are my points :
1. China is no USA , so it neither can afford nor sustain ( technologically, financially,politically,... etc) a naval base thousands of kilometres from its shores.
2. Currently USN is at Persian Gulf, USArmy at Afghanistan (may be in Iran in future) so it won't tolerate a PLAN cotingent (how small it may be) right under its nose . I donno, How PLAN commodores will feel when an US carrier is near , a PC3 is over it and may be subs under !!!!
3. And regarding India. IN definately won't be happy . Indian frigates and submarines may start harrassing manuoveres at PLAN ships , Naval fighters and survillance planes may make continuous survelliance and mock raids on PLAN ships . It will be humiliating for PLAN, it will need to input more and more ships and subs , and which will be an useless economical burden .
Chinese Navy was built to protect its shorelines from superior powers (Japan,US) and till today its more or less a coastal Navy . Indian Navy was build to dominate Indian ocean (because there is no S.Asian navy to challenge IN) and that's why it needs the carriers !!! But out side Indian ocean Indian Navy is as helpless as PLAN in neutral waters .
Some Pakistanis argue that PLAN will use its sub force , but let me remind that India's anti submarine system is one of the best in Asia , since its only viable threat is from the Pakistani submarines.
The only Indian ship lost during Indo-Pak wars is from a sub attack. Pakistan has always used her sub force to counter IN . So India has fourty yrs of experience in anti submarine warefare , and currently after Pakistani Agosta acquirement , India's anti sub section has been throughly modernised ( of course with Russian, Israeli and Freangh help but much has been made in India itself ) !!
I hope that I make some sense ......................