The Bleached blue one is healthier of the two. It is bleached, and have been bleached for 4 months, you may have problem bring the zooxanthellae back because it have been bleached too long. The tentacles are good. You will not have problem keep that one a live with feeding.
The purple on is still stressed from shipment but if not infected, he should be fine also. I do not think you see many newly import Gigantea that look much better than that. If you trust the LFS owner and he said that it have not deflates, he should be OK.
If I am you, I would spend 340 and buy the Purple one. Make sure you have Cipro, QT and treatment tank available to be use if needed. Most important for treatment tank is temp stability. IMO, and IME, you really need a temp controller, or a digital heater to keep temp stable. The cheaper heater are just more trouble than it worth.