Absolutely not. Large Tron issuances started well before Ethereum gas fees soared. We are talking a couple of years ago.

Also, market makers moving Tether around do not give two shits about $60 in gas fees or whatever. Additionally, a huge amount of Tether has gone into DeFi on Ethereum and L2s (or bridged to newer L1s, which typically don't have a Tron bridge).