Leopoldt's conjectural description of the zero Tate twist over an arithmetic base

Let $S$ be the arithmetic scheme in the source, let $j$ be the relevant open immersion, let $e$ be the indicated cup-product class, and let $A(1)$ be the real Tate-twist object. Consider the complex ${\Bbb Q}_l(0)^c_{|S}$. Leopoldt conjecture. There is an exact triangle

$$j_*{\Bbb Q}_l[-1]\xrightarrow{\cdot e}{\Bbb Q}_l(0)^c_{|S}\to j_*A(1)\otimes {\Bbb Q}_l[-1]\to j_*{\Bbb Q}_l[0].$$

In particular, $\mathcal H^i({\Bbb Q}_l(0)^c_{|S})=0$ for $i\ne1$. The source states that this conjectural description is equivalent to the Leopoldt conjecture.