While using Ghostscript's ps2write device with documents containing TrueType or Type1 fonts works fine, it appears that given a document with a Type1C font it produces a Type3 bitmap font.
I am wondering if this expected behaviour and what the reason is.
Here the steps to reproduce:
Create a minimal document.
\documentclass{article}
\begin{document}
Test
\end{document}
Compiling to PDF results in a Type1 font.
pdflatex document.tex

Converting to Postscript and back to PDF results in a Type1C font.
gs -dNOPAUSE -dBATCH -sDEVICE=ps2write -sOutputFile=document.ps -f document.pdf
gs -dNOPAUSE -dBATCH -sDEVICE=pdfwrite -o restore1.pdf document.ps

Repeating results in a Type3 bitmap font.
gs -dNOPAUSE -dBATCH -sDEVICE=ps2write -sOutputFile=restore1.ps -f restore1.pdf
gs -dNOPAUSE -dBATCH -sDEVICE=pdfwrite -o restore2.pdf restore1.ps

Fonts used in the PDF documents.
$ pdffonts original.pdf
name type encoding emb sub uni object ID
------------------------------------ ----------------- ---------------- --- --- --- ---------
EVFUHE+NimbusRomNo9L-Regu Type 1 Custom yes yes yes 4 0
$ pdffonts restore1.pdf
name type encoding emb sub uni object ID
------------------------------------ ----------------- ---------------- --- --- --- ---------
QHWNWY+CMR10 Type 1C WinAnsi yes yes no 7 0
$ pdffonts restore2.pdf
name type encoding emb sub uni object ID
------------------------------------ ----------------- ---------------- --- --- --- ---------
[none] Type 3 Custom yes no yes 11 0
Software versions used.
$ gs --version
10.01.2
$ pdflatex --version | head -1
pdfTeX 3.141592653-2.6-1.40.24 (TeX Live 2022)