Would Texas keep its current laws?

Yes. Every law Texas has already passed for itself stays exactly as it is. Independence does not erase the Texas statute books. It removes the federal ceiling that has sat on top of them.

Texas law passed by Texas does not change

The thousands of laws the Texas Legislature has enacted, the entire criminal code, the property and contract law, the traffic laws, the licensing rules, the school code, the tax code, remain fully in force the day after independence. They were made by Texas, for Texas, and they need no permission from anyone to continue. A Texan goes to bed under Texas law and wakes up under the same Texas law. This is the part of the legal system that simply carries on.

The carry company already established this

This is not a theory. The live answer on whether Texas needs a new constitution makes the same point about the structure itself: Texas does not have to rewrite everything before independence, because the existing framework continues and is amended where the new national status requires it. The same logic runs all the way down to ordinary statutes. Continuity is the default. Change is deliberate and limited.

The only laws that need attention are the ones that reference Washington

A narrow band of Texas law is written to track or defer to federal law. The live answer on carry laws gives the clean example: Texas rules on certain restricted firearms currently reference federal registration requirements, so after independence those specific provisions have to be updated by the Legislature because the federal reference no longer fits. That is the pattern across the statute books. The laws that need editing are not the ones Texas wrote for its own purposes; they are the handful that point at a federal agency or a federal statute that Texas no longer answers to. Updating a cross-reference is housekeeping, not upheaval.

Gaps get filled, not ignored

In a few areas, Texas has historically leaned on a federal rule rather than writing its own, simply because there was no need to duplicate it. Where independence exposes a gap like that, Texas fills it, either by carrying the old federal rule forward as Texas law or by writing something better suited to Texas. The United Kingdom faced the same situation leaving the European Union and handled it with comprehensive legislation that left no area unGoverned. Texas has the same tool available, plus a low-regulation tradition that may simply decline to re-impose rules that only ever existed because Washington demanded them.

You decide what to keep through the people you elect

The deeper answer is that an independent Texas does not just keep its laws, it finally controls them without interference. Every statute becomes fully amendable by the Texas Legislature alone, accountable to Texas voters alone. If Texans want to keep a law, it stays. If Texans want to change it, they change it, without a federal court or a federal agency overriding the decision. That is more control over your own laws, not less.

The bottom line

Texas keeps every law it made for itself, unchanged. The only laws that need work are the few that reference Washington, and those get updated as routine housekeeping. From there, Texans decide what to keep and what to change, with no higher government second-guessing the call.