Currently I have TWoS 2.2.10, I didn't yet update to 2.2.11 which is the latest.
In TWoS, if I go into the officers icons (lower screen where there are the 6 officers), I chose radio man, then the first white icon, I get a series of reports I can send. There are basically 2 reports: See this screenshot of my Radio Man menu:
https://ibb.co/vPvNNmQ
The 2 first are from left to right:
"Send Contact Report" . That's what you describe and is equivalent to my 2nd above in the first post. Works in my mod soup above and in TWoS.
"Send Status Report". This corrisponds to my 3rd above and correctly works in my mod soup and in TWoS.
As you see, no 3rd one (the 1st in my post above which gives so much confusion to me before I realized that it's non-functional), the other icons are not for reports to the BDU, AFAIK. Also In my mod soup, there is the same Send Status Report in my Captain's Log, this is gone in the current TWoS.
Following your advices above, I understand that: if I meet a convoy with more ships I use the first one of the screenshot to send to BDU. If I meet a single ship I can also use it, but maybe BDU will not support me, or just send me a plane.
For the 2nd one in the screenshot, I can send a status report which BDU may ask me sometimes, or I do it from my own initiative , and this would increase (but not dramatically) the convoy reports I receive in my captain's log concerning my patrol zone. Right?
Thank you very much to tell me if from my screenshot you think that my TWoS install is OK. I highly appreciate your intervention here!