The Big Tall Tenderfeet are 1.02" in height. Not sure which feet you opted for on your Classic 1 but they are going to be higher than 1.02".
Unless, you plan on putting them under the stock feet, which seems dangerous.
Remember, removing the stock feet will disable your ability to level the table, at the table level. You will want to make sure your shelf/ platform/ rack/ etc. is naturally level.