This is a good idea, thanks for the PR.

Unfortunately the current solution doesn't work because $PATH is set to /run/wrappers/bin:/usr/bin:/usr/sbin before the wrapper for Android Studio will be called (see #29513 (comment) and pkgs/build-support/build-fhs-userenv/env.nix). You can e.g. verify this with the built-in terminal.

But what we could do is something like this (#29513 (comment)):

We could e.g. append /home/xyz/.nix-profile/bin ($HOME is set) and/or /run/current-system/sw/bin but AFAIK we can't keep the original $PATH without modifying buildFHSUserEnv.

The default $PATH on NixOS looks like this:

[michael@quorra:~]$ less /nix/store/62rf4xzq9slkc37g72hvvpxywhj9c83q-set-environment | grep " PATH="
export PATH="$HOME/.nix-profile/bin:/nix/var/nix/profiles/default/bin:/run/current-system/sw/bin:/etc/profiles/per-user/$USER/bin"
export PATH="/run/wrappers/bin:$PATH"
export PATH="$HOME/bin:$PATH"

Which we could replicate but then it wouldn't work on non-NixOS systems.

To make it work reasonably on both NixOS and non-NixOS systems it might make sense to append something like this to $PATH:
/home/$USER/.nix-profile/bin:/run/current-system/sw/bin:/usr/local/bin:/usr/bin:/bin

To cover the most important paths (note: maybe also /nix/var/nix/profiles/default/bin and/or /etc/profiles/per-user/$USER/bin - I haven't looked into that).

Sorry for my delayed response.

Fortunately there was another PR (#62040) in the meantime which modifies buildFHSUserEnv in the same way and is merged now :)

This means that it will now also work with buildFHSUserEnv and there is no reason not to merge it 🎉. Thanks again for the PR :)