If your solution to avoiding political anxiety is to deny reality, then you're more likely to fall into cognitive bias and irrational reasoning patterns than accepting you have political inclinations and subjecting them to critical inquiry, being willing to change your mind and so on.
I hear you. "Don't engage" is more like an aspirational statement. Though in the last year I've been doing better at it. It may be because I spend more time reading these days than I did a year or two ago.