Yes that is good point. There is one advantage to recomputability. Which is that - at least in the first instance - all that matters is being able to recomput

Yes that is good point. There is one advantage to recomputability. Which is that - at least in the first instance - all that matters is being able to recompute the specific experiment for a paper. So testing as in "it works on other examples" is less critical. But indeed, as you say, there's close links with testing.