No, because after the spectacle of human cruelty from the initial implementation has faded, large companies will cozy up to the regime ($$bribes$$) and the per-employee government fees will be waved.

Furthermore as we've seen with "return to office", companies are more concerned with having control than with the bottom line. This new dynamic gives them one more thing to hold over H1Bs heads. Frankly, I wouldn't be surprised if the number of H1Bs increases.