I explained a bit about this here. 

Yes there will be MEV on Bitcoin. Mining pools will accept tips to have your transaction go through vs others. But wasn't it possible before this as well? Say I want to buy a $1B worth of Oil using Bitcoin. The king of UAE says the first Bitcoin transaction to hit his wallet will get the oil. Others will be refunded. If you wanted that oil, you would be willing to pay millions to the mining pools to land your transaction first. Isn't that MEV? 

Monotonous, anonymous transactions might not lead to MEV on Bitcoin but Bitcoin is a public chain with many known entities. It will lead to MEV one way or the other. 

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