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It's not how it works. You can just install whichever linux distro of your favorite, download blender or krita, and see it uses its own python by default yourself.

And thankfully it's not how it works. If it were it'd break plugin ecosystems of many apps completely.

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gentoo (a lot of lines removed):

  $ strace blender-4.4 
  ..
  openat(AT_FDCWD, "/usr/lib64/libpython3.13.so.1.0", O_RDONLY|O_CLOEXEC) = 3
  ...
  openat(AT_FDCWD, "/usr/lib/python3.13", O_RDONLY|O_NONBLOCK|O_CLOEXEC|O_DIRECTORY) = 12
  ...

No issues with plugins
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And even if the build scripts are downloading deps, having the application itself install dependencies to the user's home directory at runtime is unheard of.
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