Ramanujan conjecture for non-CAP Siegel cusp forms of degree 2

Let $F\in S_k(\Gamma^{(2)}_0(N))$ be a Hecke eigenform at good primes that is non-CAP, meaning that it is of general type or Yoshida type. For each prime $p$ with $\gcd(p,N)=1$, let $\alpha_{p,1},\ldots,\alpha_{p,4}$ be the Satake parameters of $F$ at $p$. Ramanujan conjecture. For every such $p$ and $1\leq i\leq4$, one has

$$|\alpha_{p,i}|=1.$$

This is the temperedness prediction for non-CAP forms. The source notes that it is currently known for $k\geq3$ but remains open for $k=2$; CAP forms are excluded because they are non-tempered.