Each choice of breeding relationship has its place; depending on the goals of the breeder.
Outcrossing, especially to an established inbred group of horses (Thoroughbred, Arabian, Icelandic, etc. - what most would call purebreds) and choosing on phenotype and performance of the family as well as the individual is what created the super-performer in many cases.
Continuing to breed outcross to outcross unfortunately often leads to regression and unpredictability after the 2nd generation: the very diversity of genetic material to work with often outputs an ‘average’ animal that has lost the hybrid vigor (assuming one was lucky enough to have that expressed, sometimes crosses do NOT combine the best of both…) and here comes a generic ‘feral’ type that is functional as a horse, but most unstylish and unmarketable.
Outcrosses to succeed generationally must be back-crossed to the pure foundation, linebred within their family group, or inbred to a particularly exceptional (usually 2nd or 3rd generation) result of that first outcross.
Would Irish Draft, Fell / Dales, Welsh Cob, Andalusian, Lusitano, Old style Morgan… be included in ‘similar traits to Friesian’ and so be a ‘correct’ outcross?
Or is the goal to instead create ‘black and hairy and high-headed with big trot and kind temperament’ in a metabolically non-Friesian body form that the modern WB and /or TB is closest to?
The difficulty with closed registries (you can’t breed to x mare or stallionbecause it isn’t in our book) is also part of their salvation.
They are retaining the small gene pool as a resource for the future where you will only pick up XYZ if breeding to a registered animal.
At some point opening a registry becomes necessary, but remember the German Coach horse / Gelderlander viable mare base pre WWI is no more. They have been completely absorbed and homogenized into the European Sporthorse registries, leaving remnant populations too small to perpetuate.
The guiding force of a registry board is a powerful and dangerous director of genetics when ‘voting -AKA inspections’ limit breeding stock to narrow, often prejudicial selection.
In short, if you breed yourself into a hole, you can get out - by outcrossing.
If you’ve found the ‘charm’ you might be able to retain it for a few generations by inbreeding.
If you have sturdy stock of useful and beautiful type and can do lots of research, you can do very well linebreeding the best of your families.
You can also undo the good that generations of breeders that came before you accomplished with just a few generations of foolish choices.