Could a primitive sapient civilization survive on a planet being pulled along by a shkadov thruster?

From my understanding shkadov thrusters, they use huge mirrors built on the scale of a dyson sphere, to reflect all the radiation of a star in one direction, accelerating the star as an enormous star-ship.

As the acceleration is initially slow, the planets around the star will stay in orbit (I think); my question is, can a primitive civilization survive on one such planet, or will the stresses of being pulled along at a decent percentage of lightspeed (I've heard anywhere from 10% to 80%, so I'd appreciate it if someone who knew could clarify it for me) drive them to extinction?

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Could a primitive sapient civilization survive on a planet being pulled along by a shkadov thruster?

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