There are standards to meet, but in terms of creative intent, including critical colour, there isn't really much to say. Getting things past a distributor's quality control process basically means getting them past someone the distributor trusts who sits and watches it intently, and yes, that can absolutely be done on a desktop computer monitor (I've done it and could refer you to other people who have done it.)
You have to keep some understanding in mind of what they're looking for, which is obvious technical problems like dead pixels on cameras, compression arefacts, focus or obvious soft shots due to GoPro or whatever, skies being green, or excessive noise, clipping or crushing. Otherwise, the reality is that as long as it's in the ballpark, the microscopic shades of a-few-delta-E that everyone obsesses over simply will not be noticed and will not cause anything to fail any sane QC, because it's not wrong, it's just perhaps not precisely what you intended. That's not great, but it doesn't make your project unsaleable.
These days, more or less anything from the midrange of desktop monitors upward, plus a basic calibration with an affordable probe, will get you more than close enough.