Eu encontrei a solução. Apenas adicionando a linha:
Provides: perl(JSON::backportPP)
para a especificação corrige o problema. Aqui está o meu arquivo de especificações atual:
Name: unix-runescape-client
Version: 4.3.5
Release: 1
License: GPL-2.0
Summary: A lightweight wrapper for the legacy Java client of RuneScape
Group: Amusements/Games
Packager: Brenton Horne
Url: https://github.com/HikariKnight/rsu-client
Source: https://github.com/HikariKnight/rsu-client/archive/v%{version}.tar.gz
Requires: perl perl(List::MoreUtils) perl(Config::IniFiles) perl(Archive::Extract) perl-Wx java-1.8.0-openjdk
Provides: unix-runescape-client
Provides: perl(JSON::backportPP)
%description
The Unix RuneScape Client developed by HikariKnight on GitHub. It is an
open-source wrapper for the old legacy Java client of RuneScape.
%prep
%setup -q -n rsu-client-%{version}
%install
_instdir=%{buildroot}/usr/share/runescape
cd runescape
mkdir -p "$_instdir" "%{buildroot}"/usr/{bin,share/{applications,pixmaps}}
# copy the stuff
cp -t "$_instdir" *.txt runescape updater rsu-settings AUTHORS
cp -Rt "$_instdir" share rsu
cp -Rt %{buildroot}/usr/bin templates/packaging/usr/games/*
cp -Rt %{buildroot}/usr templates/packaging/usr/share
# these libraries are old, and they are not needed anymore with current cairo
rm -rf "$_instdir"/rsu/3rdParty/linux/cairo-nogl
sed -i -e 's|/opt/runescape/share/img/runescape.png|runescape|g' %{buildroot}/usr/share/applications/*.desktop
sed -i -e 's|/opt/runescape||g' %{buildroot}/usr/{bin/*,share/applications/*.desktop,share/runescape/*.txt}
mv %{buildroot}/usr/share/runescape/share/img/runescape* %{buildroot}/usr/share/pixmaps
rm -rf %{buildroot}/usr/share/runescape/share/img/
%files
%{_datadir}/applications/runescape*.desktop
%{_datadir}/runescape/*
%{_datadir}/kde4/services/jagex-jav.protocol
%{_datadir}/pixmaps/*
%{_bindir}/runescape*
%{_bindir}/rsu-settings
%{_bindir}/update-runescape-client