There are a lot of threads on the subject trying to determine how Crystal Tower should be. This ain't one of them.
The actual Crystal Tower information is that there is a ilvl.55 requirement and that there is a 1-item-obtained per week cap.
The question is:
How will you use the actual Crystal Tower?
- Gear a single job (at a time) in ilvl.80
- Use ilvl.80 items as placeholders until you get the Allagan pieces you want in Coil
- Gear multiple jobs with some ilvl.80 gears (I don't want to spam it to get specific items)
... or any other reason you may have...