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Not true.
In the dog world, the sire ALWAYS goes first, and the X does mean that the progeny comes "out of" the female.
Pretty sure it's the same with horses, and I have always done it this way with my birds.
However, there definitely is confusion because so many people don't know this, and therefore, it is better not to assume, unless you know the speaker/writer knows how to list them correctly.
If you are reading a pedigree with brackets, the offspring is to the left, and to the right, the sire is always the TOP line and the dam is always the bottom line.