This is what you'll be up against when interviewing for good remote companies. I work for a remote first company, not just a remote friendly company, so the competition really is stiff.
With the wage I went in for, it was a no brainer. Was hired days later, and it's been the best job I've had so far.
As a remote worker, you really do have to be a self-manager, you're trusted by your team – in the same way you trust your team – to get shit done.
Another thing I did was ace the interview. I went into it with the confidence to present myself as I knew myself, as I knew they didn't. I switched the interview around and interviewed them, and in the end, we were all laughing.
What I would say is "show, don't tell".