Note: Those jacks are rated at 5000lbs each, not 10,000lbs each.
Your rear axle is likely close to 9000lbs. So with 2 of those jacks in the rear (5000 + 5000 = 10000) you will be technically ok, but for me I would want more safety buffer/margin. For example, here is a 9000lb jack that actually costs less than the ones you mentioned:
https://www.amazon.com/LIBRA-Trailer-Stabilizer-Leveling-Scissor/dp/B08LTW81BS
With 2 of these in the heavy rear you will have lots of buffer (extra strength/margin).
Safety note: I would never climb underneath a lifted RV with just a scissor jack holding it up. Anytime I go under my lifted RV it has a bottle jack and multiple jack stands as backup.
I like the idea of what you are doing and considered doing it myself on my Class C RVs. It seemed like there was some easy spots in the rear to mount scissor jacks to the frame, but it was never clear to me if that spot on the frame was a smart/valid location to lift the RV at (...Can the frame BEND if jacked up in the wrong spot and do damage?? Anyone know?). On my 30' RVs, I could mount scissor jacks on the frame but it was about 3-4 feet behind the rear axle. Anyone know if that would be okay, or would it put too much stress on the frame?
Unfortunately, I could not find a good spot for scissor jacks on the front axle/area. Again it would need to be on the frame and about 3' behind the front axle. Anyone know if that would be a bad idea? Might be a moot point, as it didn't seem like there was enough clearance on the front to permanently mount scissor jacks.
Now that I'm thinking about it again, maybe it would be reasonable (at least for me) to mount some of these scissor jacks on just the rear (Pending input from others on frame bending...). I recently went camping at a rural campsite that was too sloped for my leveling blocks to get me level (I was off by probably 3-4 inches front to back). Having jacks could have helped. With them in just the rear, I could either back into a spot or pull into a spot depending on which way it was sloping and then the jacks in the rear would come in handy. Hmmm.....
OP: Please let us know if you mount 4 jacks on your class C and if so let's see some pictures. Maybe you will encourage me to give it another look.
Happy camping!
Chris