Hi Greg,
The British did not USE a U.S.-supplied injection carburetor nor the SAE shaft splines nor SAE fasteners and other hardware, so there isn't really any British equivalent for a V-1650-3 or -5.
No, the British built Merlins did not use the US injection carburettor. No, they did not use the SAE output shaft.
Packard Merlins did not use SAE fasteners. Except, maybe, the supercharger drive system. They even used all the little BA screws to join the supercharger housings together and hold down the rocker covers.
The V-1650-7 was supplied to the British as Merlin 266s. They differed from the Merlin 66 in the supercharger drive (epicyclic, designed by Wright) and the injection carburettor.
The Merlin 266 only differed from the V-1650-7 in the output shaft.
The Packard V-1650-3 was, absolutely, the equivalent of the Merlin 63. Because that is what it was based on.
The Packard V-1650-7 was the equivalent of the Merlin 65/66. Because that is what it was based on.
The Packard V-1650-9 was a Merlin 100 series. I can't recall which model it was equivalent to, maybe the 113/114. Maybe the 130/131.
The difference between the V-1650-1 and British Merlin XX variants was the injection carburettor and prop shaft. They were supplied with SBAC prop shafts, but otherwise identical, to the British as the Merlin 28.
The internals may have matched similarly to the Rolls design (as I would expect since we made "Merlins"), but the engines are NOT interchangeable unless you also interchange props, tool sets, and engine mounts. It's not that TOUGH to change one over, but it also isn't a "swap one for one" deal, either.
As mentioned by others above, if a Rolls-Royce Merlin needed maintenance it could be, and was, swapped for a Packard Merlin in aircraft such as the Lancaster.
Don't know why you think the engine mount would change. The output shaft could be easily changed.
Some parts of a Merlin WERE interchangeable, and the head castings were the same for British and U.S. Merlins, at least center-to-center of the head bolts. Probably slightly different diameter holes, but I'm not sure since I have only worked on Packard-Merlins and never measured the head bolt holes for ANY Merlin, or Allison either, for that matter.
MOST of the parts were interchangeable.
The heads were the same. They were built to Rolls-Royce designs and specs.
But, you wouldn't try to install a British "machine to fit" part on a Packard Merlin unless you were out of interchangeable parts. Then it makes sense to "fit" a part if that's the only practical way to return the engine to service. Later British mass production parts may BE interchangeable with each other, but are they interchangeable with Packard parts? My contacts say "No," but I'm also not working much with warbird engines like I used to.
"Machine to fit"? I suppose that is an improvement from "file to fit" which is often the term used in this MYTH.
The only engines that were individually fitted were the prototype versions used by Rolls-Royce to test new parts and power ratings. These were built in the tens.
The "later British mass production" Merlins appeared before any production Packard Merlins.
Why do you, logically, think that a part built in Britain to a set of specs and tolerances not fit in place of a part built in the US to the exact same specs and tolerances?