该鱼的天敌主要是扁头哈那鲨之类的大型鱼类。非洲毛皮海狮会捕捉埃氏宽瓣鲨并将其抛至空中或是撕咬该鱼以取乐。埃氏宽瓣鲨在这一过程中常会受伤甚至死亡。非洲毛皮海狮可能会吃下掉落的肉块,但很少会吞下整条鲨鱼。目前已知黑背鸥(英语:Kelp gull)会在海狮玩耍时窃走被抛至空中的鲨鱼[16]。当感受到威胁时,埃氏宽瓣鲨会立刻蜷缩成一团,并用尾巴盖住面部,这一行为可能是为了让自己更难被天敌吞下[5][11]。此外,在人工环境下两种峨螺Burnupena papyracea和 B. lagenaria会食用埃氏宽瓣鲨的卵囊[17]。
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