The issue this class is addressing is solved with version 2.24 of the original template.
This is the fix of the original Springer LNCS LaTeX Template
(version 2.20 10-Mar-2018). When the original class is used with
hyperref package and envcountsame and envcountsect options
some references are broken. For example, if two lemmas are defined in
two different sections, the reference to the second lemma brings to
the definition of the first one:
\documentclass[envcountsame,envcountsect]{llncs}
\usepackage{hyperref}
\begin{document}
\section{First Section}
\begin{lemma}
\label{lemma:first}
First lemma in the first page of the first section.
\end{lemma}
\begin{theorem}
\label{th:first}
Smart theorem.
\end{theorem}
\newpage
\section{Second Section}
\begin{lemma}
\label{lemma:second}
Second lemma on the second page.
\end{lemma}
Click \ref{lemma:second} and go to the first page if you're using the
original class, otherwise stay here with me.
\begin{theorem}
\label{th:second}
Yet another smart theorem.
\end{theorem}
All this can be used with autoref (\autoref{th:second}).
\end{document}