Role of Margin in Determining Multiples

I've always thought of EV / EBITDA multiples as a function of EBITDA growth and cost of capital (or riskiness / stability of cash flows). However, someone I know to be fairly experienced in finance recently mentioned that higher margin businesses trade at higher multiples than lower margin businesses. Is there some aspect here other than something that can be traced back to EBITDA growth / riskiness of cash flows? I feel there may even be some counter-arguments here, for example, a higher margin business has a greater threat of entrants which is a risk to cash flow stability. Would love to hear your thoughts...

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