The squarefree v-palindromes conjecture

Let $b\geq2$ be an integer. A $v$-palindrome is a number satisfying the paper's definition in base $b$, and $r_b(n)$ denotes the base-$b$ reversal associated with $n$.

Squarefree v-palindromes conjecture. There are infinitely many $v$-palindromes $n$ in base $b$ such that both $n$ and $r_b(n)$ are squarefree.

This is one of the two general-base conjectures presented after conjectures originally proposed for base ten. Its status is not resolved in the supplied text.