This is Cub Cadet Model Number: 31AH7DVX710. I was pleased with what I found underneath when I removed the cover to 'lube the shaft' :) Literally, that's what I was doing. Ha. From the owner's manual (page 24):
FRICTION WHEEL HEX SHAFT
The friction wheel hex shaft should be lubricated at least once a
season or after every twenty-five (25) hours of operation.

1. Allow engine to run until it is out of fuel. Remove safety key
or disconnect spark plug wire.

2. Carefully pivot snow blower up and forward so that it rests on
auger housing.

3. Remove frame cover from underside by removing self-
tapping screws (Figure 69).

4. Apply a light coating of Bostik Regular Grade Never-Seez® to
hex shaft (Figure 70).

NOTE: When lubricating hex shaft, be careful not to get any
lubricant on aluminum drive plate or rubber friction wheel.
Doing so will affect the drive system. Wipe off any excess or
spilled lubricant.