Aaaaand it went away.
Walled gardens are always going to be a massive vulnerability for link rot.
I haven't bothered to examine how it works, but if you can do that and you have a disaster recovery plan that replicates your entire output to a different service (e.g. GitHub Pages) while retaining the link structure, then perhaps Medium is now superior to Posterous's original offering.
The last time I googled it they had it discontinued this option.
Cool URIs don't change and all that... Thank heavens for the Internet Archive.
In any case, if Twitter allows posy deletion, then it's standard. You may consider deleting bad form, but that's just another case of someone's perception of a platform not matching reality.
The internet makes it hard to definitively remove something, but a large percentage has already been lost to churn and bit rot due to lack of care.
So - why are you using Twitter at all if you want to delete stuff so quickly?
You sound the kind of chap who would much prefer their own platform. Heard of these things called "blogs"?