here is a photo of my chain in the large-large position and it would appear that the chain it came with from the factory is maybe a link or two too long? Would you agree or disagree?
I'd disagree.
Specifically, I'd disagree with your method rather than your conclusion. I don't think that photo necessarily supports your conclusion. If you really want to figure out the required length then use the
new chain, and put it round big-big
without feeding it through the derailleur. Then follow the rather fiddly calculations for adding a couple of links or so as outlined in the link I posted above.
Do you have any other reason for believing the chain to be too long? For instance are you getting chain-slap and paint damage on your chain stays?
Be careful as a slightly too long chain isn't necessarily much of a problem. But a too short chain can be downright dangerous as you won't be able to get it into big-big without breaking something.
Another less drastic problem that I once had that I suspect was due to having the chain slightly short (I may be wrong on this) was that it would engage big big ok but wouldn't change out of it unless I dropped down to the small ring.
I've read (in Nicole Cooke's autobiography) that pro mountain bikers sometimes knowingly run short chains, but they have to trust themselves to avoid inadvertently selecting extreme gear combos.
What I'd do would be to fit the same size as the existing one. If that proves to be wrong, it's easy to take a link out. It's harder to add one back in.