The US executes about 40x people per year (with a brief higher spike in the late '90s and early '00s); in the 1980s it was maybe 15 to 20 per year.
Texas accounts for not quite half of that.
So remind me again how your statement is meaningful among a population of 317+ million in which the radical majority of Americans live in states that either have abolished executions or execute people very rarely.
How is that some kind of large scale desensitized system of execution? Where are the thousands of annual executions that would take place in such an actual case of desensitization?