It would only be a problem according to the lomdus of Rashi’s pshat and Tosafos’s pshat. But according to the Maharam Mirottenburg there is no issue of looking like you are ready to leave and according to the bach’s explanation of the yerushalmi there also wouldn’t be a problem. Granted all the poskim do say that one should be machmir for all four shittos in which case it might be better to take it off. However one could perhaps argue that just like nowadays when people have a makom kavua there is no problem if it’s next to the door because everyone knows that your just sitting there because it’s your makom kavua, so too if everyone knows that people wear their coats as davening jackets then it might not be a problem.
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