Okay this is me chiming in.

In My opinion you should feel entitled to and expect additional game time added to your account for every day the game has the severe login troubles it currently has. I think this should be regardless if you were able to log in or not. I fully expect this myself and do not think it to be out of line. I think Square-Enix will do this.

Login issues can be very frustrating and tempers run very high when you feel denied what you think you rightly deserve. That being said I do not think you are entitled to a free month. Sorry that's not how any business works. Would it be nice to offer that to everyone? Yes. Would it help the PR of the game? Undoubtedly. In fact if I was the marketing guy I would be pushing the crap outta giving current active accounts a free month. It's costly sure but the I would argue the benefits and positive pr would greatly outweigh the cost.

That being said You should feel entitled to only the time lost. That's it. To be screaming for more makes you sound like a child throwing a tantrum. The world does not work that way and you should not expect it to.

While I find the login trouble excessively frustrating The time I have been able to play has been some of the most enjoyable I have seen from an mmo since first discovering Warcraft so many years ago. This was just me playing solo.

Square-Enix's Communication on fixes has been the best I have seen from a company. Their turn around time for those fixes not so much though. That being said 6-7 days to apply a fix as complicated as adding additional servers is not terrible. Although I understand why they prioritized new servers over anti-afk features I do not necessarily agree with it. I believe the afk players staying logged into the worlds to avoid the login issues are making the issue infinitely worse. This is why I chose not to do it myself. It may mean I don't get to play (in fact that's exactly what it means) but I will not add to the problem and prevent someone else from playing while I am not playing.

By week 2 most of these issues will be fixed I think. The additional servers will allow new players on and current players somewhere to play but won't fix the currently full worlds (might help a little but the afk players is the issue there) so I don't expect the additional servers to fix my ability to play the character I have invested time in. Maybe they will surprise me and allow free character transfers on Wednesday (This will fix the issue temporarily) or better yet implement a anti-afk feature on that day as well.

That's my rambling about it :-P