Hello, Joe Sixpack. Thank you for posting your question to the Apple Support Communities.
We understand that you are looking for the best way to share your Apple Music content and iTunes purchases with others. We’re happy to go over the available options with you.
From what you are describing, we understand that you are using the Share option to send content from the Apple Music library. With this option, the person you are sharing with will be able to open and listen to the full version of the song if they have an Apple Music subscription.
You can find out more about sharing Apple Music in the Apple Music User Guide here:
Share music from Apple Music on the web - Apple Support
If you are looking to share purchases with others, using the Family Sharing feature may be a better option for you. With Family Sharing, members in your Family will be able to access your previous content purchases.
You can find out more about getting started with Family Sharing in this article:
Share purchases with others in your Family Sharing group - Apple Support
We hope this information helps you find the best option for sharing your purchased content. Please let us know if you have any other questions.
Cheers!