That's highly counter-intuitive to me. Can you try to motivate why that's the case?
My intuition is that you could use any sequential (which I translated to online) technique could be used in a non-sequential context. By that reasoning, there's no way a sequential technique could do better, at best it could be the same.
Short answer: in sequential testing you can ask at intermediate stages whether a satisfactory confidence has been reached. If yes you are done and if not you can continue. On average you will hit a 'yes' sooner. For non sequential you cannot do this if you care about correctness (). So the sample size needs to be pessimistic for non-sequential protocols and then you are bound to that commitment.
() If your method ensures correctness even after inspection at intermediate stages then its a sequential method by definition. There is some confusion in literature about Bayesian and sequential. They are orthogonal concepts. Both Bayesian and Frequentist test of hypothesis can be sequential
My intuition is that you could use any sequential (which I translated to online) technique could be used in a non-sequential context. By that reasoning, there's no way a sequential technique could do better, at best it could be the same.