It shouldn't and everybody is free to chose their meal... having said that, APE is no longer actively developed or enhanced unlike Aspeqt/Respeqt. It is also proprietary technology and only works with MS Windows, ..speqt however can be used with Windows, Linux, Mac OSX and Android. They can be run on smart phones, Arduinos, and PCs. APE may seem to be more complete because it has modem and graphics printer emulation but free software is also catching up on those features. On the other hand ..speqt have some other options APE lacks. Given all that I personaly see no compelling reason to use APE.
That's true, and while I am a dedicated user of RespeQt (hell, I helped get the ball rolling with fixing the awful CPU usage and timeout issues with OS X and annoyed real coders with my ham-fisted hacks until they figured out and addressed the issues properly), I also know it's NOT as fully-featured as APE/ProSystem, especially ProSystem's ability to image ATR's directly from a properly-designed SIO2USB device connected straight to an Atari disk drive, and it's support for some copy-protected .atx images. And of course, RespeQt's current support for printers is minimal (but Josch is working on it!) and there is as yet no modem emulation.
But aside from that, Steve makes some interesting things available such as professionally-produced repros of hard-to-find and expensive OSS carts, his AtariMAx carts and cart reader/programmer, and Happy board repros. He's been a valuable contributor to the Atari community for a long time and it's ridiculous for someone to hijack a thread by crapping all over the brand name (AtariMax) in a drive-by troll post.