You’d need to know what red and color print profile(s) Nintendo is using in the first place before doing so.
Personally, I’ve had no issues getting a visual match by printing in RGB using absolute true red. The Nintendo logo has never appeared to leam more towards crimson or scarlet as best I can tell.
If you really want to get picky about it, you can go to their site, download any image of their logo (and if you’re crafty, you can grab an SVG of most every logo on their site), sample the color, then go from there.