Hi, I work for SAC (we are a lab that provide Johne's disease testing, interpretation and post-mortem examinations to vets in practice).
The Johne's disease blood test is not great in sheep if they do not have clinical signs (symptoms). So, testing a sheep (or goat) that is thin or has diarrhoea might be worthwhile, but testing a totally healthy sheep is much less likely to spot it if they do have Johne's disease. Cattle are better to test when healthy, they are more likely to show up if they are positive.
Postmortem examination is definitely the best way to be absolutely sure that a sheep did not have Johne's disease, as, as is mentioned in the posts above, there is a "paucibacillary" form in sheep that you do not have to worry about in cattle usually - "paucibacillary" means "very little bacteria" and in this form, blood tests and poo tests are commonly negative because there is very few bacteria in the diseased part of the gut, even if the animal is dying of Johne's disease.
That said, if your own vet has recommended testing for Johne's disease when you buy in, then of course I would always advise you go with their advice- like anything else veterinary, your own situation (local geography, local hotspots, your own farm situation) may mean that testing is worthwhile in some situations where it is not necessarily the most cost effective thing for others, if the interpretation of the test is complicated like this one. But in general, if you are making a list of "stuff to test for" in sheep, then Johne's would be further down my general list for sheep owners except in certain situations. Top of my list would be definitely to get your worming, fluke and footrot quarantine and treatments right, and also to make sure they are vaccinated for clostridial disease (and pasteurella, preferably) and then, with regards to blood tests, knowing your Maedi Visna status, (and also Enzootic abortion and Toxoplasma if you are breeding, not all smallholders do, although I know that would be a daft question for most commercial folks!) would be more useful, although they are not a must-have for everyone. If you buy from Maedi Visna free flocks, or only have a very small flock yourself, then it might not be worth it to you. Currently the majority of sheep people do not test for Maedi visna, although we are trying to increase the number, because it is present in about 2-4 % of farm flocks, so it's not exactly rare.
Obviously Enzootic abortion and Toxoplasma tests can tell you if your flock is at risk of an abortion epidemic, or requires vaccination, so there is a practical benefit there as these diseases are extremely common.
With Maedi Visna, if you get it, you probably won't realise for a few years, and then it can really impact the productivity of your flock, and it's a devil to get rid of (one of the hardest). It is really easy to catch. Johne's disease is harder for sheep to catch from each other so less of them will typically get it than Maedi Visna, which can spread like wildfire but invisibly.
Hope this helps!
If you are interested in these diseases, what they are and how to screen for them, search for Premium Sheep and Goat Health scheme - it has all the info on the SRUC website so you can read all about them even if you are not thinking of joining the scheme or anything, it's just free information on the website.
Kind regards,
Caroline