The reason is that you can’t produce more land. Fixed supply will also warp economic markets and create terrible incentives (land speculation).
If you want the best solution, you implement a land value tax. If you want the 2nd best solution, tax property (Land + Building value). If you want the worst solution, implement rent control.
The workaround is to build more dwellings, and rc generally is not an inhibitor there.
Funny enough 'wealth taxes' may actually be the worst of tax of all - aka a double negative - like a double negative.
What we want to do is make it so that 'rich people get rich' not from rent-seeking but from real value creation.
It will also provide immediate relief for struggling citizens, whereas a LVT or taxing property will take time to actually drive construction which will push down rents.
It's something local governments often have the authority to implement, unlike LVT.
A little mentioned fact: the highest rate of house building in new york (FAR FAR higher than today) coincided with by far the STRICTEST rent controls. Something to ponder next time somebody tells you that rent controls just stops homes from being built.