\documentclass[12pt]{article}

\usepackage[debug]{jsonparse}
\usepackage{xifthen}

\JSONParseFromFile{\test}{"test.json"}
\def\bool{\JSONParseValue{\test}{bool}}
\def\int{\JSONParseValue{\test}{int}}
\def\str{\JSONParseValue{\test}{str}}

\def\boolA{true}
\def\intA{1}
\def\strA{string}

\begin{document}

\section{String equality tests}

\subsection{The reflexive condition holds}

\bool\ == \bool? \ifthenelse{\equal{\bool}{\bool}}{true}{false}

\int\ == \int? \ifthenelse{\equal{\int}{\int}}{true}{false}

\str\ == \str? \ifthenelse{\equal{\str}{\str}}{true}{false}

\subsection{But equality to fixed strings does not}

\bool\ == true? \ifthenelse{\equal{\bool}{true}}{true}{false}

\int\ == 1? \ifthenelse{\equal{\int}{1}}{true}{false}

\str\ == string? \ifthenelse{\equal{\str}{string}}{true}{false}

\subsection{Nor does equality to def strings}

\bool\ == \boolA? \ifthenelse{\equal{\bool}{\boolA}}{true}{false}

\int\ == \intA? \ifthenelse{\equal{\int}{\intA}}{true}{false}

\str\ == \strA? \ifthenelse{\equal{\str}{\strA}}{true}{false}

\end{document}