The diamond principle conjecture for mad families of block subspaces

Let $F$ be a countable field, and let $\diamondsuit(\omega^\omega,=^\infty)$ denote the parameterized diamond principle appearing in the source. Diamond principle conjecture. If $\diamondsuit(\omega^\omega,=^\infty)$ holds, then there is a mad family of block subspaces of cardinality $\aleph_1$, and consequently $\mathfrak{a}_{\mathrm{vec},F}=\aleph_1$. This is presented as the suspected correct diamond principle for determining when $\mathfrak{a}_{\mathrm{vec},F}=\aleph_1$, in contrast with the corresponding principle for ordinary mad families; its status is not resolved in the supplied text.