I don't know the Case model numbers, but for New Holland, the TC33 and TC33D used the old 7308 loader (capacity around 800#, IIRC). With the TC33A and TC33DA they switched to the new 14LA loader (supersteer models used a different loader, I believe). It was with these models that teh front axle was beefed up. As far as I know, the new TC34 uses the same 14LA loader.
So I misspoke a bit... When comparing a TC33 or TC33D to a TC34, there is a significant difference in the loaders. When comparing a TC33A or TC33DA to a TC34, I believe the loader and lift capacity are the same. (unfortunately, I don't have my brochures available to check this).
John Mc