Embarcadero released a hotfix for Delphi XE7 Firemonkey which modifies the TForm.Quality property to properly handle IOS. Apparently previously if you set the TForm.Quality property to HighQuality it had no effect on IOS. Now with this Hotfix it handles IOS and antialiases lines correctly. I haven’t personally tested this but if you are doing custom drawing with Firemonkey on IOS and had issues in the past with the quality of your lines give this fix a shot to see if it fixes the problem for you. The hotfix is simply a modified version of FMX.Platform.iOS.pas which you can copy to your project directory and it will be compiled in your next version. One other item of note is that the Delphi XE7 Firemonkey Premium Styles pack has also been updated with support for the Iphone 6 Plus devices. Macro Cantu has a blog post about the hotfix here. I think the Hotfix should also work for your Appmethod apps.
Head over and download the High Quality IOS Hotfix for Delphi XE7 Firemonkey from Code Central.
