So can I ignore the price gap (assuming I can cover it with the funding fee) as long as the funding rate is positive?

Like open and close the trading bot based on funding rate and not based on price gap?

Answer

Yes you can ignore it , but keep in mind if you can open in the high price gap and close it in negative price gap , you can have additional unrealized profit from the price gap. The value could reach 0.5-1%.
This value can boost up your total profit.

But if you want to catch the funding fee as soon as possible, you can ignore the price gap in order to get the bot running as soon as possible. Finding good amount of price gap usually cost you time to start the bot

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