I use Instagram, but not as often as FB. You can have them crosspost to each other. I have IG going to FB, but not the other way.
I do not see any downside to what you are looking to do.
Edit to add – I belong to a forum that used to be strictly web-based. About two years ago an Admin started a FB page that resembles the web forum. Now I would estimate that over 80% of the posts are done in FB & not on the website. This has caused a riff with people who will not use FB. They feel as if they are left out of the group since people will typically only post on FB & not the forum. It is an interesting trend of social media vs website.