I am of the opinion that the claw extractor will last longer than a push feed but only if you feed cartridges from the magazine. If you drop a round in front of the claw and expect it to bend over a cartridge rim, it will fatique fracture at some point in time. You can look at this M98 extractor and see that it has to bend out to snap over a cartridge rim. I did have a M1903 extractor break after dropping a round in the chamber and closing the bolt. It was an old extractor, I think it broke at the bolt face, but it has been over 30 years and my memory is not clear on this point. Since then, I feed everything, be it push feed or controlled feed, from the magazine. Its a good habit to get into.
The push feed extractors have to snap over the cartridge rim and are thus exposed to more wear. Of the push feed types used in NRA highpower, the Rem 700 wore out sooner and was more difficult to replace than the M70 push feed extractor. The M70 push feed extractor was very easy to replace, you pushed in a spring loaded indent and slide the extractor off the bolt face. Finding the correct extractor was a trick, that I don't remember the different types, but there were a number of different extractor blades and you had to find the correct one or the extracted round would not clear the magazine port.
The push feed extractors have to snap over the cartridge rim and are thus exposed to more wear. Of the push feed types used in NRA highpower, the Rem 700 wore out sooner and was more difficult to replace than the M70 push feed extractor. The M70 push feed extractor was very easy to replace, you pushed in a spring loaded indent and slide the extractor off the bolt face. Finding the correct extractor was a trick, that I don't remember the different types, but there were a number of different extractor blades and you had to find the correct one or the extracted round would not clear the magazine port.