How to align dissimilar numbers with uncertainties in LaTeX table columns with siunitx?

Question

I am trying to typeset a table with data values and their uncertainties using LaTeX with the siunitx package. Some data values within a given column are much larger than 1, and others are much smaller than 1. The siunitx package first aligns the numbers at their decimal point, and then aligns the data at the "+/-" sign used for the uncertainty.

This two-step alignment is not desired in my situation. I need the data aligned at the "+/-" sign only.

How can I achieve this?

Here is a MWE to illustrate the problem:

\documentclass[12pt]{article}
\usepackage{booktabs}
\usepackage{siunitx}

\sisetup{separate-uncertainty=true , table-align-uncertainty=true }

\begin{document}

\begin{table}
\centering
\begin{tabular}{ l S[table-format=3.7(2)] }
\toprule
{Column 2}  & {Column 2} \\
Hello       & 124(5) \\
World       & 0.0005678(9) \\
\bottomrule
\end{tabular}
\end{table}

\end{document}

Answer 1

\documentclass[12pt]{article}
\usepackage{booktabs}
\usepackage{siunitx,etoolbox}

\sisetup{separate-uncertainty=true , table-align-uncertainty=true }

\begin{document}

\begin{table}
\centering
\begin{tabular}{ l S[table-format=3.7,detect-weight,mode=text] @{${}\pm{}$}
S[table-format=1.7,detect-weight,mode=text] }
\toprule
{Column 2}  &\multicolumn{2}{c}{Column 2} \\
{Hello}       & 124.0000000 & 5 \\
{World }      & 0.0005678 & 0.0000009 \\
\bottomrule
\end{tabular}
\end{table}

\end{document}