Lining figures in math mode, but oldstyle figures in URLs

Question

Basically, I want to achieve the same as for instance in this question: Changing the math-mode figures to “old style”. But not in general math, only for URLs, which are set in math mode (in the manual, I read that this is done due to “context-sensitive linebreaking”).

So, a simple MWE:

%!TEX program=lualatex
\documentclass{article}
\usepackage[no-math]{fontspec}
\usepackage{unicode-math}
\usepackage{url}
\urlstyle{same}

\setmainfont[Numbers={OldStyle}]{Libertinus Serif}
\setmathfont[]{Libertinus Math}

\begin{document}

math: $123$

text: 123

url: \url{123}

\end{document}

The math number should of course stay as they are, but I would prefer to have the same number style in URLs as in normal text. In the MWE, I used the predefined url-style \urlstyle{same}. For custom styles, I would use the macro \renewcommand*{\UrlFont}{\mathversion{osf}\normalfont} and define a suitable math version with \setmathfont[version=osf,....enable oldstyle numbers....]{Libertinus Math}. However, I do not know how to “activate” old-style numbers with unicode-math. When adding the option Numbers={OldStyle} as for the the main font, I do not observe any effect.

Edit

I tried it with \mathversions and substitituting only a range, but this does not work. But \mathversions alone work – at least for equations put inside $ signs. For URLs, it is somehow ignored.

Update MWE

%!TEX program=lualatex
\documentclass{article}
\usepackage[no-math]{fontspec}
\usepackage{unicode-math}
\usepackage{url}
\renewcommand*{\UrlFont}{\mathversion{osf}}

\setmainfont[Numbers={OldStyle}]{Libertinus Serif}
\setmathfont{Libertinus Math}[version=default]
\setmathfont{Libertinus Serif}[version=osf,Numbers=OldStyle]

\begin{document}

\mathversion{osf}    
math (osf): $123$

\mathversion{default}    
math (default): $123$

text: 123

url: \url{123}

\end{document}

Answer 1

url uses math mode, but the font is the text font. I'm using tex gyre heros below to make the difference more obvious.

The problem is that math mode in lualatex requires fonts that use the basic renderer, but text fonts typically want the node or harf mode. You can try to force the basic mode for the url's, but it can mean that you loose text options which work only with node mode. A real solution would require a reimplementation of url which doesn't use math mode.

\documentclass{article}
\usepackage[no-math]{fontspec}
\usepackage{unicode-math}
\usepackage{url}
\def\UrlFont{\addfontfeature{Renderer=Basic}}

\setmainfont[Numbers={OldStyle}]{TeX Gyre Heros}
\setmathfont[]{Libertinus Math}

\begin{document}

math: $123$

text: 123

url: \url{123}

\end{document}