From my experiences renting, the big complexes are a lot more sensitive to the overall rental market. Individual owners are far more likely to just keep charging the same rate they have for the past 3 years, or just bump it up by 50 bucks if their HOA or water bill increases to cover the cost. If their mortgage payment on the property hasn’t changed they may value filling the unit with ease over trying to up the rent.
I’m actually surprised to see that rents have only risen by 10% or less in the past 3 years in some of the big complexes. Inflation has been in the neighborhood of 2% per year over that time frame, so in some cases prices haven’t gone up much relative to inflation.