I looked at the source for this plug-in and as far as I can tell  it only merges lines that meet at endpoints. It ignores multi-lines, and only creates linestrings, so there are no vertices of degree >2 (ie, no junctions/forks). Also, the plug-in doesn't look for intersections between vertices (since it only looks to merge endpoints.)
The StackExchange post appears to want multi-linestrings, which gives forks and such. Is that what you need?

On 8/30/2021 5:27 AM, Nicolas Cadieux wrote:
Hi,
This is the plugin I was referring to.  I don’t see it in the current plugins (experimental turned on)  so I figured it’s QGIS 2 only.


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