It will depend on the options used when the drives are
Have a look at
/etc/fstab, if the entry for the partitions in question has
defaults set as an option then this implies that
suid is set, from
Use default options: rw, suid, dev, exec, auto, nouser, and async.
You can over-ride this by specifying alternative options in
/etc/fstab, for example you can specify
users as an option (although I was caught out by the fact that this implies
noexec so I couldn't run any scripts and had to over-ride this), so have this in my
LABEL=home /home ext4 noatime,users,exec 0 4
 I was reading
man mount and
man fstab yesterday after having a problem with default options myself.