  The main result here gives an algebra(/linear category) isomorphism between a
geometrically defined subcategory $J^1_0$ of a short Brauer category $J_0$ and
a certain one-parameter specialisation of the blob category $b$. That is, we
prove the Conjecture in Remark 6.7 of [14]. We also define a sequence of
generalisations $J^i_{i-1}$ of the category $J^1_0$. The connection of $J_0$
with the blob category inspires a search for connections also with its
beautiful representation theory. Here we obtain formulae determining the
non-semisimplicity condition (generalising the classical `root-of-unity'
condition).
