Would this be equivalent to Christo-Lube 111 or 129?
Yes. It's equivalent to 111
Short answer: should be close equivalent to Christo-Lube 111.
Long answer: Christo-Lube 111 is a wide temperature range, perfluoropolyether grease which was developed for use in systems where non-reactivity with harsh chemicals including strong acids and oxidizers, fuels, solvents, etc. is an important factor. The grease is suitable for use in applications including electrical contacts, valves, threads, screws, bearings and in systems employing elastomeric and plastic seals, gaskets and o-rings.
It is more applicable to high pressure applications than Christo-Lube 129 and should be appropriate for Nitrox system.
Not knowing the composition of Nitrox O2-Lube I can't state equivalence, however I would not hesitate to use Christo-Lube 111 in my Nitrox system. I do use Nitrox O2-Lube in my Nitrox system.
Remember: This is my opinion only. Use at own discretion. Liability is neither stated nor assumed.
129 (static not dynamic lubrication)
I use it for O-rings on NITROX tanks and regulator/inflator hoses. I wouldn't recommend it for regulator service for liability reasons.