I’ve never heard of this problem before. You cannot serve two masters.
In my experience, an FLR makes me feel invincible in the outside world. You simply approach people and tasks as obstacles keeping you from your Domme.
You act with courtesy and professionalism because you are representing Her- even if nobody else knows it.
And then you start to focus on doing things right the first time and don’t waste time on anything.
FLRs have been a godsend for my personal and professional life.