Hi,
As far as the number 6 cylinder, have you replaced the spark plugs, coils or anything other that may eliminate that issue from happening? I ask because that can cause a rough idle.
To answer your question, yes, an intake with a leak can cause the rough idle. Anything that allows unmetered air to enter the engine (vacuum leak) will create issues.
By any chance, do you have a live data scan tool? If you do, can you check what the short term fuel trims are and let me know? If there is a leak, I should be able to tell with those readings. Also, make sure things like the PCV hose and other vacuum hoses you can see aren't damaged or disconnected.
I attached a pic below and circled the PCV hose. Because if its location, it isn't uncommon for them to dry rot and leak, so check it.
If you want directions for the intake, let me know.
Joe
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Wednesday, September 30th, 2020 AT 6:31 PM