Certainly not trying to de-bunk Al's claim (sorry Al...I couldn't resist that one.

), but while
I've not had this happen often with the "green tape", in my case 3M green automotive tape, it can and has happened to me, but it's only when I'm working hard against the tape edge with a lot of liquid with a wool pad, or a cutting pad on a rotary and on gel-coat. From the moisture the tape edge can and will begin to break down, and I think that's to be expected with more than normal product use near the edge. It's important to know exactly which "green tape" someone is using as well. There are several brands of green tape on the market and they are NOT all equal.
The main thing to remember with either color of paper masking tape is that it's paper and it only has so much moisture repellancy, and only for a certain duration of time. Again, this is where I think vynil tape has an advantage, in moisture repellancy, allowing a greater time frime for the tape to remain on the surface while also being exposed to more than normal moisture.
Nothing is ever perfect so we just have to find out what we like and go with it. It's great to get perspectives, opinions, and experiences from other folks. I think that's what is so neat about a discussion forum like this. It's a great place to share ideas, knowledge, and experience.
Honestly, it's tape...like a band aide...its designed for temporary use. Any of the tapes AG sells is the best that there is to offer. That's as simple as it gets. Find a tape you like and use it...sparingly. LOL!! It get's expensive...but it beats cleaning up splatter later.