Since u are in such a deep troubleshooting efford, remind us, the reason of your problems started by the machine not engaging, or having problems engaging when hot, and NOT steering, would it be so out of the box checking the TXM operation with the steering system bypassed? so as the braking system?
Blocking the PV to the steering/brake side would do it. Despite it need pressure in Brake system to "walk" that would not be a problem to check press at P1 and P2 ports and rule out TXM clutches system leakage.
BTW driving the machine up slope or dwn slope , side slope or anyother slope would not starve any of the clutches of lube oil, no more than it would in a flat spot, as this lube is coming from same pump intake. Unless u have a really really low oil level, or other issue in lube system.
Either way pump would cavitate so much that it would not be unherdable and machine would get stuck imediatly. just my opinion.
nice job u´re doing,