plugin wp supercache – wp super cache ā€“ NFS document root

The documentation for the wp super cache plug-in says that

The cache folder cannot be put on an NFS or Samba or NAS share. It has
to be on a local disk. File locking and deleting expired files will
not work properly unless the cache folder is on the local machine.

However my website is set up such that my entire document root is an NFS mount to a file server (Iā€™m using two web servers in load balancing configuration with both web servers NFS mounting their document root to the same directory on a separate file server). So the cache folder is on the same disk/server where my WordPress installation exists.

So in this scenario does the above note on the documentation page regarding NFS mounts still apply?