Your horses are a great example of classic, consistent breeding.
I think the people who are so against inbreeding really don't understand it. Often, they ascribe human morality to a breeding practice and are misinformed about the reality of genetics and how genetics really work. Given the right individuals, I will certainly line-breed.
The other issue is that some people often confuse classic Arabian type/standard with today's fads. Tried and true still works, no matter what's "popular."
It is a scientifically proven fact (University of Missouri and US Library of Medicine) that inbreeding, producing a foal from a mix of the 2 closest generations, produces a dramatically higher percentage of physically and/or mentally deformed off-spring.
It's not about being a "naysayer" it's about being a responsible breeder. The amount of "crap" that is present in the market today as a result of inbreeding is a perfect example if why it is POOR breeding practice to inbreed. Sure you might get lucky once or twice, but studies prove that will not happen most of the time.