Just wondering if this is allowed (bending the cable back in under the lug).
No not proper
As Roy stated no it’s not terminated properly the terminal appears to be too large for that conductor. Having said that if it’s tightened properly it would probably last 100 years but the problem is there is no way to know for sure since that terminal has not been tested to have the conductor folded over.
Thanks for the timely response as I am finishing the report!