It is not uncommon to see posts that have been pushed from Instagram over to other social networks. This shows the same kind of caring, personal touch as calling a friend and then just playing him your outgoing voicemail message.
“Hi. This is Dave. I'm sorry I missed your call ...”
“But you called me.”
“... but if you leave your name and number ...”
“What are you talking about?!”
“... I'll get back to you as soon as ...”
“This makes no sense!”
It is easy to tell when a post has been pushed over from Instagram. Sometimes next to the person's name it will say “Instagram”, mainly because there is not enough room to print “I'm lazy and think your are beneath me.”
Another sign is that the posts will have several links to other people that do not work. Thus you get a picture of some flowers and the text “Praying for peace on his sacred holiday @rumproast @moron5 @rectal-itch.”
It will also have 700 hashtags. Because while hashtags are used less and less on other social networks, on Instagram people spit them out more often than they exhale. It is not so much a communication tool, but a contagious speech impediment. Some day there will be a charity that seeks to help people with hashtag disorders.
All in all, just pushing your Instagram posts over to all of the other social networks is an excellent way to show people that you really don't care.