When I have this sort of question I google pictures and look at the people and try to discern the norm. Yup, if its not required, but if will make those around me feel "special" then I do that for them.
I googled "58 Tour Eiffel" and mostly what I saw was what the English might call "smart casual" and what we might call "business casual" to sports coats (mostly without ties) at what looked to be lunch. At dinner it looked to be sports coats (mostly with ties) to suits and ties
Then I googled "Le Jules Verne" and it was a step above what is saw at "58 Tour Eiffel". Actually saw a few that truly bordered on formal.
Now some might argue that some of the photos are marketing photos, well, that sort of says what they want the image of the place to be.
As for schlepping a suit. I'm not a fan of it either. We mostly travel with carryon luggage so years ago I went out and purchased one of those impossible to wrinkle navy blazers, wrinkle proof slacks and a wrinkle resistant shirt. As long as I don't think i will need the tie the shirt is a silk "T" or a silk Polo so its fine around town during the day too. I most often wear the blazer on the flight. All the pockets make it an ideal "travel vest". The nice trousers and shirt open up a lot of possibilities in the evenings where ever we go and I realize that looking a little better gets me better tables and better service.