Here is an idea for testing whether a stainless carafe vs glass lined makes a noticeable difference for you:
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Set up a water bath at whatever serving temp you prefer for your coffee. A quick search’s says this is somewhere from 140-150f. If you have an immersion circulator (used for “sous vide” cooking), you’re golden for this. Otherwise, you’d have to use a pot of water on the stove with a rack in the bottom to keep your coffee vessels from touching the bottom. then keep adjusting the stove to maintain water temp… which would be a PITA.
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get two clean vessels with lids, one stainless, one glass. You could probably get away with using plastic wrap and a rubber bands for lids in a pinch. Preheat the vessels with water.
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pour freshly brewed coffee into each vessel, put the lids on, and put them in the water bath for a while (1 hour?).
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have someone pour you a coffee from each vessel into identical coffee cups. They need to keep track of which is which. And, of course, you shouldn’t know which is which.
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Taste. Can you tell a difference? Which one is better?
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repeat until you’re tired of running the test and are sure your answer is solid.