The burn-in issue they mentioned is legitimate, but I think they're overdoing it a bit. Burn-in does happen, but it's way rarer than it was a few years back - modern OLED TVs have protections against it (pixel shifting, automatic screen savers, brightness reduction in static areas). If you watch normal content without leaving the same image frozen on screen for hours, honestly it's not a realistic concern. Now, if you work from home with a workstation sitting on the screen all day, that's a different story.
What nobody's brought up yet is the maximum brightness question. Mini LED actually beats OLED pretty well on luminosity peaks, which matters if you've got a really bright room or like watching with the lights on. OLED wins on contrast and colors in dark environments, but in a room with natural light during the day, the difference shrinks a lot. So it really depends on your setup: if it's for watching movies at night in a dark room, OLED is clearly superior; if it's for everyday use with daylight, Mini LED might be more practical.
As for prices, yeah OLED is pricier, but premium Mini LED models aren't exactly cheap either. What I'd do: first figure out the size you need, then check actual prices at different stores (not just Worten), because the differences between models of the same tech can be bigger than the difference between the technologies themselves. And go see both of them side by side before you decide - reading about them is one thing, actually looking at them is another.