Land has been passed down for many generations quite successfully, and property taxes are great, because there should be some societal cost associated with the ownership, i.e. being able to call on the fire department etc.
Maybe that is the mindset of the communists, and it would make sense that they want to manage how many babies exit women in case skills can’t be passed down as efficiently.
You're misunderstanding. Property taxes mean that in practice even in the USA you don't own the land, you have what is essentially a renewable lease - you have to pay the equivalent of the land value every 50-70 years. If you're in China, you are in exactly the same situation - you have to pay the value of the lease every 70 years (or less). At the end of the 70 year lease, you are automatically eligible for renewal, as long as the land is being used and is not being speculated upon.
The Chinese land system is literally functionally identical to a 1.3% property tax.
The goal of the system is to reduce land speculation, which worked because in China 90% of households outright own their houses. Essentially, the land is free, you only pay the property tax.
China's 70 year urban land leases are essentially the Chinese version of property taxes. As long as you pay for the lease renewal, you are allowed to automatically renew it. In exchange, you don't pay western-style property taxes. The building itself is excluded from the 70 year lease, you own it in full and in perpetuity, so it isn't subject to the tax.
In fact, many 70 or 20 year leases have been renewed.
In conclusion, it isn't a question of control, it's simply a way to pay into the budget of the local government - if they wanted you expropriated they have eminent domain. Additionally, it limits speculation on the price of land, because when the lease expires there is very strong incentive for the owner of the lease or someone in their family to be using it as a housing. This is part of why in China 90% of people own the house in which they leave. All in all, as a homeowner, a 70 year infinitely renewable lease from the CCP is not different from having to pay for the value of your land every 70 years because of property taxes. In practice, people have passed down land for multiple generations in China, and upon lease expiry have had it automatically renewed so that they may pass it on to their children too.
Maybe that is the mindset of the communists, and it would make sense that they want to manage how many babies exit women in case skills can’t be passed down as efficiently.