MM, have you tried the walmart case with a 401? I'm curious about the foot pedal cord.
The other thing worth mentioning is once removed from the cabinet (as MM suggests) if you're going to put it in any case, vintage Singer or uhm, I guess the Walmart case here is Singer labeled too, once removed from the cabinet (most people remove the 2 screws they can see) you'll have to remove the hinges from the machine.
Loosen each screw that holds the hinges on, pull the hinges out, then tighten the screw back in place so you don't lose it. They're not easy to find.
I've used the 401 and several other Singers simply set on a table and they're fine, like MM says. The case just improves carry ability for taking it out of the house.