....You got your residence card before, let's say, early 2022, didn't you?When you renew you get a new residence card directly, with no CoE in the process (and no visa sticker in your passport either).
...and you're a highly-skilled foreign professional? Techbro? ezpz 70 points?Completely false. The normal, legal process is to submit it yourself. It doesn't confuse immigration, quite the opposite. They're no doubt aware that some companies help (or "help") their employees, but the company literally has no legal standing in the process.