Anywhere where China is likely to encounter Japan in a real conflict is within the reach of at least DF-26, probably DF-21D too. 10 miles is an ignorant number; these ASBMs have range of 900-2,500 miles.
The only situation where Liaoning might actually have to fight an Izumo out of the protection range of ASBMs is if somehow, things got heated in the East China Sea and Liaoning and Izumo were both off somewhere like Africa and they met each other. In that case, Liaoning's likely to have an 055 and some 052D with it, with 1 or more submarines (as will the Japanese). The subs will try to torpedo enemy carriers while the 27,000 ton Izumo will have to fight with a few F-35B against up to 2 dozen J-15 on the 67,000 ton Liaoning. There is no reason for Japan to feel like they have the upper hand at all.
Why are we discussing this? Carriers are not weapons that capable powers use against each other; carriers are used by large powerful nations to intimidate small and weak countries. They are ideal weapons to be asymmetrically countered, which is why China is in no hurry. To counter a Japanese Izumo with F-35B is a goal so small, it's not even on the PLA's radar. The goal is to surpass the United States, by planning things out and doing things right. Reacting nervously to small developments by building poorly-planned carriers with less than ideal fighters is not going in the right direction.