Both sides of this argument have merit. I almost never cull babies, unless I can see they are so malformed or ill that there is no way they could have a reasonable quality of life. If you are breeding for the joy of seeing meeces grow up and thrive, there is no reason you should have to cull.
As far as breeding a runt goes, I also see both sides. It's not always true that a runt produces runty babies, and even if it did, if you are breeding a new or rare type of animal, you may wish to breed every chance you get to produce more viable offspring.
The examples given are good ones. Satin meeces are so pretty, and I struggled for several years to get a viable satin line going. Buying your mousies at a pet store is a compromise, like getting a pig in a poke, but that's what we have to do sometimes.
There have been claims that the satins in the UK come from a different source than in the US; it is interesting to see it mentioned in this context, as I have also been told that British satins never suffered from 'satin syndrome'. What is more likely is that the US and the UK each did similar experiments resulting in similar outcomes. The subject of exposure to radiation was very hot in the forties and fifties, and I'm sure the US and Britain did independent tests and compared results. They have been close allies for a long time. Many of the varieties we have now came from those experiments.
It's neither a good thing or a bad thing; it just is a reality we need to be aware of and deal with. Do what you want, it's your runt. Five years ago I had a long haired marked champagne boy who got sexed wrong because of small size and and furriness, and got several litters started before I got him back out of his 'harem'. His offspring were lovely and large, and had wonderful dispositions, and I never really regretted my mistake. That line is still represented in a couple of my current lines.