The Daily Texan, student newspaper for the University of Texas, carries this opinion piece advocating that no one ever vote for an independent candidate. The piece says that no independent has ever won an election in Texas. Actually, an independent was elected to the Texas legislature in a special election on August 2, 2016. She was Laura Thompson.
Also, another independent, Homer LaKirby Lenoard, was elected to the Texas legislature as an independent in 1936.
The piece says that a vote for an independent or third party never has any political effect. This is far from the truth. Votes for minor party or independent candidates are sometimes more powerful than votes for major party nominees. The Prohibition Party cost the Republicans the presidency in both 1884 and 1916. Those votes for Prohibitionists were very powerful. This outcome motivated the Republicans in Congress to pass the Prohibition Amendment in Congress in 1917. The amendment had been sitting in Congress since 1875 and had never before made any headway. But Republicans passed it, hoping that it would end any threat from future Prohibition Party campaigns. They still didn’t expect the states to ratify the amendment, but in 1919 it was ratified.