TX tried to outlaw any license plate frame which might cover a part of the state's name on the plate, although the TX emblem was between the lh and rh segments of the plate ID. At that time, most new car dealers were using plastic license plate frames to secure their temporary paper license plates on new vehicles, so the top sections were trimmed a bit to allow more of the "TEXAS" name to be more visible. Some enterprising law enforcement operatives did write warning tickets for the "non-compliant" frames, but later ceased to do so. Just as they ceased to write tickets for "colored, non-white-light" headlight bulbs. Or the lack of wheel opening extensions to cover all of the tire's tread width, in more recent times.
In the display of license plates on the vehicle (TX is still a two-plate state), there was an old provision about not having a dirty license plate, as an offense. In one of the upgrades to the statute over the past decade or two, that provision was lined-out. That was an observed reason for what I term "a customer contact stop", which might lead to other things. Nothing else discovered, usually just a verbal warning. FWIW
Enjoy!
CBODY67