A step beyond sharing a tweet is posting a comment. I am not sure if it is the effort involved or the process behind it, but I have always valued a comment more than a tweet. In recent times, this has included posting comments from my own site (where applicable) or pasting in.
However, I much prefer how you capture it so much better.
My current workflow involves composing on my own site before syndicating elsewhere. Not ideal, but I find this friction builds in the space for reflection that does not necessarily exist when engaging via an app.