Wouldn't look right. If you look at Apple peripherals of the time, if it had rounded edges (ProFile, Unifile, and the Apple III) it had the apple logo and our badge on the left side.
Around the time of the IIe it changed. If you look at the IIe platinum or either the monochrome or color monitors the apple logo is on the right and if you look at the DuoDisk you had that groove and everything had nice hard edges. If anything my lack of a platinum IIe breaks the uniformity on my end but I think the badge would even more break the theme going on with the peripherals where there's no badges at all except the apple logo on the right.
Around the time of the IIe it changed. If you look at the IIe platinum or either the monochrome or color monitors the apple logo is on the right and if you look at the DuoDisk you had that groove and everything had nice hard edges. If anything my lack of a platinum IIe breaks the uniformity on my end but I think the badge would even more break the theme going on with the peripherals where there's no badges at all except the apple logo on the right.