Lets look at the actual facts here:

1. TOS says nothing specifically about Parsers
2. The Threads listed below* are parsing threads that have not be locked, deleted, or warned.
3. The players that say that parsers are bannable are probably bluffing and thus Trolling this thread. They can prove me wrong by having those threads* actioned by reporting them. Its been 2-3 days and they haven't done it.

* Here's the three threads I am talking about. I'm sure there are more, but they are the ones that I know the best. Some of which have been around since before 2.1:
http://forum.square-enix.com/ffxiv/t...otation-Reborn
http://forum.square-enix.com/ffxiv/t...-Temple-Reborn
http://forum.square-enix.com/ffxiv/t...age-Calculator