I think the problem statement is reversed. The Brake DRAINS INTO the rear of the Transmission. Then its bearings go dry and fail. The issue is we cannot see the leakage because the point of failure seems to nearly always be on the Input (transmission) side of the brake, not the Output (driveshaft) side.
We know Harvard as Alignment Guru, but he commented that a Class A he had used that brake also, and that it seemed to have been completely filled (as opposed to a "level" like a rear axle or manual transmission). But filled WHEN it was in a different orientation (plug at TOP instead of Side like we find it under the coach). I believe that. I went to check ours and it was WAY "overfull" in terms of the 17MM plug on the driver side of the brake.
That plug is NOT EASY to get at and once out, VERY hard to put back.
I've heard of guys checking it, sucking the ATF out with a suction gun, and refilling to the Plug Level. This seems to be OK, but I'd have to guess from all I've read that Plug Level is bare minimum.
My advice to anybody wanting to check the Parking Brake Fluid:
Position yourself Very Very Well. Where you can easily see and access the Plug. Try to loosen only, hoping you'll see ATF start to ooze around the loosened Plug. Then (strictly my individual advice) Stop There and Tighten it Back. If it's oozing, you'll never be able to bring the level above the Plug Hole.