I wouldn't call this a time series database at all. To me, tsdb implies analytics over a time dimension such as weather sensors or stock market data.

This is just patitioning a log on time so you can query the most recent and delete the old stuff.

I doesn't even really seem to me you necessarily want to partition on time since your load distribution is going to be terrible.

Edit: too add a little. There is a thing called a temporal database that is a little more general in usage i feel in that it is more about facts at specific points in time (such as your address last year) that i think this is more about.

There is even a bitemporal database that has two time dimensions (what do we think your last year's address is right now and what did we think your last year's address was yesterday - and in those you don't ever delete data that is wrong, you just update your belief about that point in time) and they are really interesting to work with. Those would seem much more similar to this.