Free apple music download after 3 months free trial?

The information you have is correct regarding the initial free Apple Music after trial period, which typically offers a 1-month free trial for new subscribers, with some promotions extending it up to 3 or 6 months in certain cases. 

However, after the free trial ends, Apple Music requires a paid subscription to continue streaming or downloading music. There is no legal way to continue using Apple Music for free beyond the trial period unless Apple or third-party promotions offer additional free access, which are usually temporary and promotional.

Important: Downloading free Apple Music after the trial without paying is not legal, as it violates copyright laws and Apple’s terms of service. To keep access to your downloaded music, you need to subscribe to a paid plan after the trial ends.