Your inspection in Texas should include plugging into your OBD2 and reading codes/verifying readiness. If your engine wont go closed loop, it wont read ready and should store codes associated with whatever is keeping it in open loop.
You basically have 2 sets of O2 sensors. Pre cat o2 sensors are used for your fuel trims and will be unaffected by removing the cats. Post cat O2 sensors are there to monitor cat health and will definitely store CEL codes if the cat is removed. Sometimes they can be fooled by the anti-fouling spacers for spark plugs.
Your post cat O2 sensors could have the codes programmed out with a tune. This would allow you to 'pass' that portion of the inspection. However, if a physical inspections is actually done and there does not appear to be any cats in place, then you will fail.
The techs are licensed through the state, if they are caught passing an obviously failing vehicle, they will lose that license and will be subject to fines and penalties. Some will risk it, many will not. I have never personally heard of, or known of, a tech that was caught though, I know and have known many techs that would fail you for something as minor as tint.
If you live in a county exempt from emissions testing, then you have a better chance of skating.
At the end of the day, these changes are minor and everyone has an opinion. Honestly, I was always more surprised when a tech would let me skate on an issue from the inspection. I mean, why should he risk his job for a stranger?