IMO it's always been a red flag if a company doesn't do coding screens, even if someone at the company says they're good. There's just too many awful programmers out there to be willing to move forward with a candidate on word of mouth alone.

It really sounds like you just need to brush up on your interviewing skills, maybe some leetcode practice, maybe you just need someone to stare at you while you solve problems to get over the nerves of the situation.

I used to practice in an environment without even basic autocomplete because I felt like it was more effective, maybe something like that would help you.