The penalty for misdemeanor larceny in California is also 6 months in county jail and that has been true continuously since Spanish rule to the present day. The difference between Texas and California is that in California you can do 3 years in state prison for stealing $1000 and that is not the case in Texas.
In Texas even if you steal $100 you can go to jail for 180 days.
The nuance in CA (before it recently changed) was that there was absolutely NOTHING you could do if they stole 3 lawnmowers.
Besides why fight this? You already know you're wrong.