Joseph
I am fairly certain none of them wear jackets.
You are making a circular argument.
They wear their garb because that is the accepted style in their circles. Not because it is inherently bekavadik.
The best example is a hat. When agudah “askanim” Meet political figures they usually do not bring their hats along (though rabbonim might). When meeting a president I wouldn’t wear a hat nor half a jacket. And I would wear a tie.
When davening we use a different benchmark. The garb for davening is completely different than meeting a president in spite of what you say in your op.
The accepted style among beneI yeshiva during shacharis is hat (unless married) half a jacket and no suit or tie.
This is very different than in the oval office.
Thus Your initial argument that all should dress this way since that’s how would dressay when meeting a president makes absolutely no sense.