Tricky. When a user uses sudo to “su” to another user, certain environment variables will not remain.
From the man page:
Variables that control how dynamic loading and binding is done can be used to subvert the program that sudo runs. To combat this the LD_*, _RLD_*, SHLIB_PATH (HP-UX only), and LIBPATH (AIX only) environment variables are removed from the environment passed on to all commands executed. sudo will also remove the IFS, ENV, BASH_ENV, KRB_CONF, KRBCONFDIR, KRBTKFILE, KRB5_CONFIG, LOCALDOMAIN, RES_OPTIONS, HOSTALIASES, NLSPATH, PATH_LOCALE, TERMINFO, TERMINFO_DIRS and TERMPATH variables as they too can pose a threat. If the TERMCAP variable is set and is a pathname, it too is ignored. Additionally, if the LC_* or LANGUAGE
variables contain the / or % characters, they are ignored. If sudo has been compiled with SecurID support, the VAR_ACE, USR_ACE and DLC_ACE variables are cleared as well. The list of environment variables that sudo clears is contained in the output of sudo -V when run as root.