There a few others on other forums who mentioned this issue for last 1 year, but it appears no solution is found.
The issue is that when connected to Metamask, on the very same site, Trezor would sign successfully for one type of transaction, but will keep failing other type. The error message: ‘There seems to be an issue with this signing method. Please try again.’
Have tried all obvious solution: update firmware, plug and unplug, RPC, chrome, firefox etc.