Recovery restores old system version

Question

I have a new laptop and want to use Setup Assistent to migrate from my old, However, here's the issue:
- Old laptop has latest Mavericks, 10.9.5
- New one came with 10.9.4
So Setup Assistent refuses to work since it needs the new one to be updated to 10.9.5, However, if I continue with the setup and then upgrades to 10.9.5, I'll only be able to run Migration Assistent which is not as good (being a developer I have lots of odds and ends setup, like web server config, user accounts settings, etc, that I want to migrate smoothly).
No worries, I thought, and booted into Recovery partition instead, erased the standard partition, and then selected to install Mavericks fresh -> Mavericks was downloaded over the internet. But here's the strange thing: The downloaded version is also 10.9.4. I tried it again, making really sure the standard default partition was completely erased, but same result.
So it seems to me as if there is something wrong here with the version served by Apple; as far as I know, you should always get the latest system version when installing a system using internet download.
Any ideas?
Right now I'm forcing Internet recovery mode, i.e. ignoring the recovery partition (which of course has version 10.9.4) and downloading the recovery system over internet as well. I'll then erase the whole drive, including recovery partition, and see if that would trig receiving 10.9.5 at once, instead of 10.9.4, but I suspect it won't help.

Answer 1

Setup Assistant – How to re-run
This should allow you to update 10.9.4 to 10.9.5 and then use it.
10.9.5 Combo Update