It's beyond me why people would think this is worse for the tenant. Can I move to CA and be your tenant? You're basically giving your tenants free money.
Let's say the rent is $1000/month (for simplicity). That's $12000/yr in the first year. If you increase the rent by 12% ever 4 years they'll have 3 years of paying $1000/month, followed by a 4th year of $1120/month and so on.
If you instead raised it yearly by 2.87%, which give-or-take is the same as a 12% one-off increase we can calculate the net rent paid over the period in the two scenarios:
$1000*12*3 = 36000
r=1000;x=1.0287;
(r*x^1*12)+(r*x^2*12)+(r*x^3*12) =~ $38106
The result is that by deferring rental increases you've given your tenant a benefit of $2106, and we can safely assume the rent is a lot higher than $1000/month. I.e. every month of the rent not keeping with market increases is more money for the piggy bank.