Takamamash…………….
Since you mentioned my name
I arrive in the synagogue dressed in a suit if it is a work day. I hang my suit jacket in the cloak room and put on my Talis before entering the minyan room. I find I am not comfortable with the one arm through a sleeve and the other hanging loose, jacket buttoned at the waist method. I have the talis on until I leave the minyan room and put my suit jacket back on in the cloak room.
I find nothing disrespectful in being garbed for prayer in a full sized talis.
On non-work non-Shabbos or Yuntif days, I may not be dressed in a suit. If I’m wearing a zip up jacket it also will be hung in the cloak room.
On Shabbos and Yuntif I wear my suit jacket under the talis with both arms through their respective sleeve.
BTW>>both my father and grandfather had the same method regarding their suit jackets. Why mistreat a quality garment by wearing it in a manner for which it was not made?