One of the reasons Prop 13 happened was to go hand in hand with rent control and help offset the negative costs of rent control. (An advantage for the owner and renter). So I think you'd need to get rid of rent control to get rid of Prop 13 for a large group of people and that would be very hard.
That's how I heard it. Turns out Berkeley got rent control in 1972 while Prop 13 was passed in 1978. But generally you're right.
It's still my understanding that landlords of multiple units who have tenants in rent control would have a massive problem with the repeal of Prop 13. It's one of the things that go hand in hand with rent control and keep costs low. They would have a strong argument for being unable to maintain their buildings and run a business without Prop 13.
A number of landlords skimp on maintaining their buildings when they have a number of people on rent control. The buildings become quite dated and unkempt. However Prop 13 does make the business sustainable for those receiving very little rent from tenants of 30+ years.