The rhotic phoneme /r/ is often pronounced [ɻʷ] at the start of a word both in North America and in Ireland. That [ɻʷ] is the symbol for the voiced
retroflex approximant, with labialization.
That’s a special kind of “r” sound that includes lip-rounding or lip-curling. It’s the source of the original spelling of words beginning with wr- but these days that spelling no longer means that, making wring/ring, wrack/rack, wrap/rap, write/right/rite all homophone sets in nearly all dialects of English. Whether it is rounded or not depends on which region of the global anglosphere that the speaker comes from.
The labialization trait is what you’re perceiving as lip-rounding, and which presumably your first language does not have on its rhotics. Our rhotic approximants in English are notoriously difficult for learners to master, especially with the various nuances such the retroflex, labialized, and retroflex variants manifest here.
One thing you can be sure of is that if it’s being said by native speakers, they are all pronouncing it correctly for their dialect, even if these pronunciations vary by region.