Upvote:2
There is a question of similar nature which I answered in part with the less time they are given, the less time they need, though the summary of my answer to How can I speed up the processing of my Romanian short-stay visa at the Romanian consulate in New York? was "You can't".
In that post here was no specific time expectation mentioned, though it did include It has been 3 weeks. The OP kindly provided feedback which included I had to call the Visa Center in Romania and a few hours after speaking with them, I get a call from the NY consulate that my visa was approved and I can pickup my passport later that day and After I arrived, the lady knew who I was, since she gave me some kinda stinkeye...I approach the window at my turn and the lady asks me "What do you want?". Said I arrived for my passport and she brought it, then threatens me in front of all these other people that she will call the FBI and tell them that I am threatening/harassing her.
So it may be that the call to Romania made all the difference, though it also seems to have been risky. In my answer I admit I had advised "Don't go over their heads".
Another Q of similar nature is here. There there was some reason to expect 34 days or so for turnaround. Unfortunately this time we have no feedback from OP. However, reading a LOT into what little information is available (see my A) my best guess was it actually took about 10 days, presumably without any expediting.
In your case we have your feedback (thank you, as you may gather, it helps!) and it seems your in time result was without progress chasing β or even the expediting measures that were considered.
So to 'answer' your question Is it possible to plea for a speed up during a transit visa application? I repeat the summary of my earlier answer "You can't" with the addition as before of 'but that is not reason to despair'.