Correct, but the second line of the original post implied Class A hence answer geared in that direction and if you note the answer given to question two you'll see that Class D airways aren't actually a surprise to me.
For any Class D airspace, including airways, normal Class D rules apply including the extra privileges conferred by an IMC rating. Any VFR or IFR crossing of a Class D airway needs to be cleared by the appropriate controlling authority.
SVFR is not available in a Class D airway.