Some parts of the given answer with code suggestions:

The problem is that the size is hardcoded to 35 for horizontal or 25 for vertical. You need to modify Fl_Value_Slider.cxx. In the routine draw, it has

if (horizontal()) {
  bww = 35; sxx += 35; sww -= 35;
} else {
  syy += 25; bhh = 25; shh -= 25;
}

This is based on a textsize of 10. If you change the text size, then it needs to go up based on the text size. Something like

if (horizontal()) {
   int width = textsize() * 3 + 5;
   bww = width; sxx += width; sww -= width;
} else {
   int height = textsize() * 2 + 5;
   syy += height; bhh = height; shh -= height;
}

Then rebuild the fltk library. Either keep this patch or send it to FLTK ...

Thanks to cup for this answer and patch suggestion. I can't tell if this is the correct or best patch but it's something that should be considered.

In the final version this should likely get a new method to set the different drawing sizes. This is not only true for Fl_Hor_Value_Slider but also for several other slider types and even some more widgets.

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