Is this possible? First sort should sort for date, but ignore the exact time, day only, the second sorting should sort for reversed size (largest files on top).
I mean something like this, but triggered via button or user command:

This will sort by the two columns:
Set Sortby=date,size SortReverse=Off
I think the SortReverse argument is applied to the overall sort (both columns), though. I don't know of a way, when doing a multi-column sort via a command, to specify different reverse on/off settings for each column.
You could change the default sort order for the fields (via Preferences - Display - Fields), though. That should determine what happens when the button is run.
BTW, it may only work if the Modified (Date) column is showing. If the Date-Time column is showing it may still sort by including the time. Give it a try, though; I haven't checked it in detail.
Good, that´s a starting point. I think your code will do the job here. Nevertheless i´d suggest some "date only" column, where all times were ignored except the raw date. This is useful when having lots of Wav files from a CuBase (that´s a MIDI & audio recording program) session, where the exact time doesn´t matter except of the date, but sorting after descending size only would possibly include files from older sessions, which isn´t desired.
Surely there would another way of solving this, like first applying some saved filter for the date thing & then sorting after size.
There is already a date-only column. (At least, it only displays the date. Not sure exactly how it behaves when sorting.)
I didn't think of it before but you could make the button turn on that column before setting the sort. Then it should always use that exact column. At least in theory. 
Which one would this be? I only find (from the columns in the column header) created, modified & accessed. 
I don't know what it'll be called in the german version but it's Date (Modified) in the english one.
Ah, i had the "date/time modified", but even after having only the date shown, the size sort isn´t working:

In that case it's probably still sorting by date+time even though it's only displaying the date part.
Yep, seems so. I think i will send a request, although this is no big thing. Maybe it´s not too difficult to include?!
Yeah, go for it. The filename-without-extension column was changed in a similar way recently (it used to still include the extension when sorting) so maybe the same kind of change can be done for the date column.