Gavin,
I have a mobility scooter transaxle driving sprockets but I found exactly the same thing - remove 1 link and the chain is too tight, put it back and it is way too loose. Richard stocks 1/2 links for the standard chains as he has found the same and can't explain it either. I bought some of these from him but they didn't work for me either so I have a roller under the botom run of the chain which stops it from jumping off the sprockets. In fact, even this didn't work on one side so on the other I made a curved chain support out of aluminium and the chain just runs along it. It's always on the loose (non-driven) side, even when the vehicle is running in reverse so hopefully it won't wear out too quickly. I did wonder about sprung loaded bicycle chain tensioers and this would have been my next solution but I couldn't find any at a resonable (ie very cheap) price at the time.
Regards
Mike