I'm half German and no one goes around telling me that I'm a nazi.
Iberian horses do not posses the same traits or types as modern warmbloods, which is why there is clearly a warmblood type AND an iberian/baroque/spanish type.
Yes, of course 200, 500 years ago the breed types were different. However, in MODERN breeding there are warmbloods and iberians as two seperate breed groups.
Having worked with iberian, baroque and modern warmblood types I can say for sure they do not posses the same characteristics. Each requires a different training process and ride. Which down to the individual horse is also different, but in general far more sensitivity and care is needed with the iberian breed types.
The Iberian breeds we see as typically Lusitano and Andalusian are considered 'Ancient' by definition of how far back they date. The Lippizaner - also an Iberian breed is considered to be Historic as only dates back to the 16th century as does the Alter Real and the Frederiksborg.
The Oldenburg has a lot of Friesan influence also has Iberian roots with a mix of many other breeds,The Holstein which was a mix of Iberian, Eastern & Neopolitan blood was a much bigger heavier animal than we see today and the Hanoverian (which was primarily a result of a crossing between a Holstein and TB) are defined as 'Historic'
Many of what we call Warmbloods that also have Iberian blood in their foundation are still 'mongrels' as far as breeding goes and are defined as 'modern' - for eg The Danish, Dutch & Belgian - the Danish WB has its foundation in the Fredericksborg which is an Iberian horse
Basically the word 'warmblood doesnt refer to a breed at all but to a 'type' - the new german warmblood ponies are a mix of the warmblood horses and British ponies such as the show pony type & the welsh and connemara - still very much a cross breed but being called a warmblood
As for the Lusitano being sensitive - to imply high strung' - that would be seen as a breed fault from using bad stallions/mares and not as typical
Historically they were bred as war horses and prized for their ability to go places other horses wouldnt - Hannibal is said to have travelled with 12000 of them over the Pyrenees and the Alps, it was valued as a working stock horse and for bullfighting so having a calm trainable disposition was essential and the breed society has tried to keep them as true to type as possible. These were the horses that were brought to the Americas in the 16th century so are also the foundation stock of many US breeds
We had a lady who imported many of them from Portugal and kept them at livery with us in the UK - they were amongst the easiest horses to train and handle that I have ever dealt with. I also knew someone who 'rescued several Lusitano bull fighting horses and they were exactly the same