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Well, the trumpet (the instrument) is really far from okay (see link above for a real 17th century trumpet; here a link to another period trumpet: http://trumpetmaker.yolasite.com/birckholtz---trumpet.php ; those used in England were of exactly the same type), and the same is true of the trumpeter. He is equipped like an ordinary harquebusier/ironside trooper but I would expect special costume such as a cassock, preferably with hanging sleeves, and a hat, even with parliamentary cavalry, definitely no carbine. Equally, the cornet should wear officer's dress. And the appearance of the saddle is really quite far from any TYW or ECW period saddle I have ever seen. I cannot remember any such saddles from contemporary illustrations, nor do I know of any extant original.
I can only say I my defence that when I first saw the pictures they looked like triple barred pots.
But on the other hand you're also right - zischagge were about but not in those kind of numbers.
The trumpeter should - you are correct - look more like the Revell figure but having him with a seperate arm means the trumpet itself is less of a problem as the figure can be used for other things.