Is Case TCH fluid ok for Ford 4400 power reverser trans?

[City Farmer]

Hi all. I have a 73 Ford 4400 with a torque converter/power reversing transmission. I'm changing all fluids/filters before I take it to the farm. My question is, can I use Case TCH in the shuttle trans and be ok? I use TCH in my dozer shuttle and they're about the same vintage. I would sleep a little better putting better fluid in the shuttle even though it's $80/pale. My other question is, should I step up to a GL-5 for the rear differential or just stick with tractor supply universal? Case recommends GL-5 for the dozer rear differential and crash box. This tractor doesn't have a 3ph, pto, or remote hydraulics.