The French looked at LCAC for the MISTRAL class and decided these unreliable things were not worth the trouble.
I cannot speak for the French and what they tested. I cannot speak for the Chinese.
But the US, which arguably has the most amphibious experience of any nation in the world, perhaps more than the other leading nations combined, uses LCACs significantly (91 vessels).
It is certainly not all that the US uses, because the US has three classes of LCUs (57+ vessels) and two clases of smaller LCMs (54 vessels).
The LCACs did have to be SLEP'd to be able to carry the M1A2, but that has proceeded. During the SLEP their service life was increased from 20 to 30 years, which indicates the US Navy and US Marines are happy with and committed to the design...indeed, the design has served the US well.
The Chinese have clearly invested heavily in large LPD designs similar to the San Antonio class which have been built specifically to take advantage of the LCAC design, and we are seeing the Chinese now produce and test LCACs. I will be very surprised if they depart from that given their investment. Though the well deck can carry other craft, it was clearly designed to carry their LCACs and they will maximize the use and capability of the Type 071, IMHO, by doing so.