I’ve been using a set of these for a year, and the lid’s not been a problem. It’s dishwasher safe, and the dishwasher does a good job on it without leaving a soap taste.
Foam and air insulated mugs don’t insulate worth a damn. I’ve run some tests, and a typical air-insulated double-wall bottle doesn’t perform much better than a straight plastic bottle. Foam’s not much better.
The Contigo mug is moderately insulated, enough to keep coffee warm for ~4 hours, provided you start at about 150, which is the limit of what I find tolerable. Note that pouring coffee into a mug cools it down, so if you’re being fiddly about it (as I am), you want to measure the temperature in the mug, not at the source.
The Contigo is a vacuum bottle, but the walls are awfully thin. A proper Thermos will last all day - in my test, water that started at 155 took 13 hours to drop to 120, which I feel is the bottom limit. However, the Contigo mugs have a big advantage, you can put them in the dishwasher, which you can’t with most vacuum bottles.
The manual warns that the paint will come off the colored bottles if you use the dishwasher. After a year of use, I’ve got a few flakes missing from my red one, no visible damage to my blue one, and of course the unpainted stainless steel version doesn’t care at all. If this is a concern, get the stainless steel version.