I'm not sure which difference are you trying to point out. The VNA I have at work only supports OSLT calibration, so I wouldn't be able to use that fixture.
I ran a quick test on a 22pF 0805 capacitor in the series fixture using TRL, TOSM and unknown thru (UOSM in R&S speak) calibration on that very board you are discussing. All calibrations only use the cal standards on that board and assume them to be ideal. As you can see, there is not a huge difference when you calculate the impedance magnitude from S21 data. TRL generally yields the smoothest traces with least ripple on this board, especially when you look at S21 data, and it surely is the most precise way to get the reference planes of the measurement directly at a particular point in a planar geometry.
Further, the advantage of TRL is that it does not need fully known standards. For example, the reflect only needs to have some not too small reflection coefficient, which is assumed to be the same at both ports. Also, the line only needs to have a precisely defined impedance (this determines the system impedance of 50 ohms), but it can be lossy and have an arbitrary propagation constant. Therefore you can make very precise measurements that way.
There will be some systematic error in the TRL cal because the line standard does not have exactly 50 ohms since the board was manufactured in a cheap pool process, without proper impedance control.
I've used an impedance controlled pool to make the board, and calculated the waveguide. I see that he is not using a clearance on the RF connector. A Würth appnote was specifically mentioning that there should be more space around the pin of these end launch connectors. Not a concrete guide, and I have no way to simulate it. I also don't recognize the connector he is using so maybe that has a different footprint.
The part No. of that connector is mentioned on my homepage. It is designed specifically for coplanar waveguides.
The other thing I see is the via fencing. As I understand this is more for EMC compliance, and a waveguide will work just as good without it, at least for the frequencies in question. But I'm ready to be proven wrong.
This is a grounded coplanar waveguide, hence the front side ground planes must be tied in some way to the rear ground plane. That's what the via fences are for.
Another option you could try is making a board with a footprint and two connectors like the one pictured in the attachment, then calibrate to the connectors (for example with TOSM/SOLT), and do a port extension to the SMD pads on the board (i.e., add the required offset length at each port). You can check if your offset lengths are correct by temporarily soldering a short to ground at each SMD pad. This might already be precise enough below a couple of GHz.