I personally believe the bolt gun reached its pinnacle in 1898 and has not been substantially improved since. The 98 was designed with CRF so I think that's what a bolt gun should have. But I wouldn't be against a push feed rifle.
I agree. In the time period when the bolt rifle was the combat weapon, more claw extractor designs than push feed designs became main line issue service rifles. If I were to draw an arbitrary line of 1898, which would remove the Mosin Nagant (perhaps unfairly!), I can think of only a few push feed actions, off the top of my head, past that date. There are the Swiss Schmidt Rubins, the French Mas 36, hopefully others can add to the list. But, even with a longer list, just how many of these push feed actions were made and used, in comparison to the claw extractor types?. I don’t remember the exact numbers, but Mauser 98’s were made in huge quantity for export, maybe 70 million, and then there were military issue CRF rifles that were used the Mauser extractor. Such as the M1903, M1914, 1917, Arisaka, probably more.
For a military application, it might be a toss up between the Arisaka and the M98 as the best military actions, and I am of the opinion, that the claw extractor is the best extractor type for a military bolt rifle.
For civilians who never wear a barrel out, maybe fire 40 rounds through the lifetime of a rifle, price considerations overrule durability. Push feed actions are easier to make, work well, there are a number of fine examples on the market.
I suspect claw extractors took up too much space in automatic mechanisms, the claw might be in some early designs, but I can’t think of any.