"Simply put, being permitted to keep your income is not the same as taking it from competitors.
This is certainly true, provided that you cease using the services that others, who are contributing their income, are paying for.
If you're using the services paid for by the taxpayers (e.g. public roads, employees educated in public schools, the court systems, etc) but not paying taxes, you're being subsidized.
Of course the subsidy may be for the public good, but people who tie themselves in knots trying to avoid using the "s" word are acting silly.