Does free iWork on iOS entitle me to free iWork to Mac?
Actually no, iOS and OSX version of iWorks are 2 different softwares although linked by iCloud (AppStore &amp; Mac AppStore "are" independent). iWork for OSX is free for every Mac bought after October 1st 2013. 

There are some workaround to get the 3 OSX apps (Pages, Keynote &amp; Numbers) for free without any illegal download. 

Does Apple know that or do they do that on purpose ? That a good question that I do not know the answer.