Earlier quoted context omitted.
To be honest, if they paid me a 6 digit salary, I'd be happy to "answer an email" on a Saturday, it isn't exactly doing an 8+ hour shift at the weekend.
You're selling yourself too cheaply. To habitually work on weekends I'd need at least a 7 figure salary. Maybe even 8 figures.
That said, we moved to Europe some years ago, so I have never really seen even a 6-digit salary in my life, even though I'm formally and practically qualified and have decades of experience. So there's that.