Advantage: Tactical vs Practical...
The reason you don't see more straight pull bolt actions is there is no market. There is a niche.
History plays a big part. Early ammo often wasn't all that good. A lot is made of the "advantage" of the powerful camming action of the bolt action, allowing you to get that stuck case out, compared to levers, pumps, and semiautos.
And rightly so. Those few designs that used lugged bolts operated by levers, pumps, gas or recoil, the ability of being able to apply force directly on the bolt handle to rotate the bolt with the hand still gives the traditional bolt action an advantage in extraction.
Why is this important? To armies wanting the most rugged functioning arms under the worst conditions, it makes a difference, and so does the cost. And once a nation gets locked in to a certain design (one that works well enough for needs) it developes a certain inertia. Because its an investment, along with all its ammo.
Back when Europe's armies were upgrading from the single shot to the repeater, it became some kind of bolt action. And while there were some straight pull designs, the best of them wasn't any practial advantage over the turn bolts of the day. And the best straight pulls cost more and were more complex to make.
SO the turn bolt reigns supreme, because it works so well, there's no need for a straight pull, and so not much market. What can you do with a straight pull that a semi auto doesn't do better for speed or a turn bolt better for strength?
Want the best straight pull bolt gun you can easily find? Turn off the gas system of your M1A!