The details of the garments represented in the Dura-Europos synagogue frescoes match very well with clothing depicted in Byzantine Chiristian images dating from the 3rd to 8th century (with the exception of tzitzit).
The tunics are angusticlavia, a narrow-strip tunic (tunica) with two narrow vertical Tyrian purple stripes (clavi). This tunic was typically worn under the toga with the right side stripe visible. The part of the tallit/toga that might resemble the stripes are gammadia or similar decorative ornaments.
Such clothings was worn by upper class Romans and criticism of such dress would therefore be class-related, rather than motivated by religion.
Above comments courtesy: Simon Stoklasa
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