Thought this might be of interest on this thread. I did a test a few months ago with bottling a NEIPA with Daraform, (oxygen scavenging) caps and standard caps with and without large headspace in clear bottles.
If your interested I posted lots of pictures over time on homebrewtalk.com the thread is
here
I filled three bottles as follows, unfortunately the bottles are not all the same shape but its what I had.
Bottle 1 - Filled using filling stick and left the usual headspace - capped using a standard cap
Bottle 2 - Filled using filling stick and left the usual headspace - capped using a Oxygen Scavenging cap
Bottle 3 - Filled using filling stick and then topped up to a few mm from the top - capped using a Oxygen Scavenging cap
For quick reference here are the first and last pictures.
Day 1 Picture
3 and a bit months after bottling
The bottles where stored in darkness throughout and spent most of their time in my beer fridge at 4°C.
Its fairly clear that bottles 1 & 2 have oxidised compared to bottle 3
When I opened bottle 1 and bottle 3 a couple of weekends ago there was definitely a difference although not a huge one. Bottle 3 had more aroma and maybe tasted a bit more hoppy but other than that no off flavours or anything, I did think that they are maybe all a bit past their best now though.
Next time I do a similar beer I will try minimal headspace with and without a Daraform cap to see if the Daraform cap really makes any difference. I think from the experiment above the Daraform cap on bottle 2 hasn't made any difference compared to bottle 1.
Since doing this experiment I am always filling with the filling stick then topping up from a measuring cylinder to about 3mm from the top. I have not had any bottle explode which I have heard can be a problem.
But a word of warning - On the other thread Gnomebrewer put three glass bottles topped to the brim with cold water in the fridge, then allowed them to warm up to 21°C and eventually all 3 bottle broke due to expansion of the water. So either keep the bottles cold after capping or make sure that there is always a 3mm gap.