Prints (printed fabrics) are fine
I'm speaking specifically of the 'pushing an identity or message' type of T-shirt that originated in the USA, dating from the 1948 "Dew it with Dewey" political campaign T-shirt but only started becoming popular as casual wear in the late 60s and 70s. The 80s had the corporate logo T-shirt (blurgh) but it was the 90s and 2000s when the trend really entrenched itself.