Wait untill they have 4-6 carriers and can actually conduct similar power projection operations, and see. There is a tendency (in general) that once military capabilities are in place, they will be used (else the investment in them doesn't pay).
On 7 June 2011, People's Liberation Army Chief of the General Staff Chen Bingde confirmed that China was constructing its own aircraft carrier.
On June 8, 2011, General Chen Bingde made the first public acknowledgement of the ship's [Varyag/Liaoning] refit.
On July 27, 2011, the Chinese Defense Ministry announced it was refitting the vessel for "scientific research, experiment and training".
On 30 July 2011, General Luo Yuan, a senior researcher of the Academy of Military Sciences said China needed at least three aircraft carriers. "If we consider our neighbours, India will have three aircraft carriers by 2014 and Japan will have three carriers by 2014, so I think the number (for China) should not be less than three so we can defend our rights and our maritime interests effectively."
In July 2011, a Chinese official announced that two aircraft carriers were being built at the Jiangnan Shipyard in Shanghai. [one of which probably being Liaoning, which undertook her first sea trials from 10 August 2011 to 15 August 2011 and commissioned into PLAN September 25, 2012]
On 21 May 2012, Taiwan's intelligence chief Tsai Teh-sheng told the Legislative Yuan that the PLA Navy plans to build two carriers, scheduled to start construction in 2013 and 2015 and launch in 2020 and 2022 respectively.
On 24 April 2013, Chinese Rear Admiral Song Xue confirmed that China will build more carriers and these will be larger and will carry more fighter-planes than
Liaoning.
On 31 December 2015, a spokesman of the Chinese Ministry of Defense confirmed that China is designing and building its second aircraft carrier.
So, we'll see Liaoning (Type 001), a second carrier based on it but much more 'Sinofied' by design (Type 001A), and at least 1 but probably 2 larger ships (Type 002, plus maybe a 002A) and maybe more (e.g. a nuclear or GTu powered Type 003).
Meanwhile, China has completed 4 of 6 planned 25k ton LPDs (Type 071). It is claimed to have started production if a first 36k ton LHD (Type 075)
http://www.navyrecognition.com/inde...hd-amphibious-assault-ship-for-plan-soon.html
This is in addition to the existing fleet of (tank) landing ships (15 Type 72A and 10 Type 072III of 4.8k ton, plus 4 Type 072II and 3 Type 072 of 4.2k ton) and 4 Zubr-class large LCAC (40 tons light, 415 tons standard, and 555 tons full load). And a variety auxiliariues and STUFT ships that would be available for expeditionary operations.