I too feel like this "article" (let's get real, it's a just someone's opinion on an internet forum) is extremely hyperbolic. Many euphyllia are EXTREMELY easy. I have witnessed euphyllia survive and thrive in water conditions that one wouldn't expect ANYYHING to live in.
I say many because I don't feel that all of them have this level of hardiness. My theory on this is that it relates to the differences between some of the established "strains" within the hoby as compared to wild or maricultured pieces. In my experience, aquacultured and hobbyist grown euphyllia tend to be danged near bulletproof while maricultured and wild pieces can be a bit more of a toss up.
Some of the maricultured/wild pieces seem to be just as hardy as their tank raised counterparts, while others can be more delicate. When I have an "oops moment" in any of my systems the euphyllia that show signs of stress first are almost invariably the ones that were collected more recently, regardless of how long they have been in the system relative to others.
There could be several reasons for this. On one hand, the hobby itself is selecting for the fittest coral over time (the hardier corals of a given species live longer and thus reintroduce more frags back into the hobby), but on the other we are seeing shifts in collection locations alongside high demand and it is possible that this is a factor in hardiness. Either way, I would hardly classify euphyllia as anything but easy. Even the more sensitive euphyllia tend to be hardier than many if not most other stony corals. Personally there are extremely few stony corals that I would consider easier than euphyllia.
As far as advice for OP goes, I personally would do an iodine dip on the effected colonies. This has remedied 75% of the issues I have had with euphyllia over the years. In the case of communicable disease, I also like to isolate to prevent any potential spreading from happening.