Keep in mind that while bigger displays give you more screen, they don’t give you more resolution unless you opt for a GPU-straining 4K panel. Common modes like 1920x1080 that are sharp at 24” and slightly coarse at 27” reveal every pixel when inflated to 40” and larger sizes.
Since handy intermediate productivity resolutions such as 2560x1440 don’t exist in the TV world, lower pixel density is a fact of life compared to dedicated computer displays. Text and detail heavy tasks suffer accordingly, something to consider when figuring productivity into the mix, but gaming escapes relatively unscathed. One unintended benefit? Larger pixels increase font sizes by default, a boon to gamers with poor or aging eyesight.