No, it most certainly can make noise. You are talking about yanking the factory input leads for the tape head, re-routing them through a line driver and then slapping an Mp3 player on the end. There is certainly a distinct possiblility of ground faults, and those faults being amplified once connected to a line driver. If you don't believe me, go right ahead you'll see.
If you notice in your link, the gentleman said he had to crank the gain of the AudioSource line driver all the way. That is because those leads were previously connected to the tape head output. I don't want to get into line level variations from component to component, but trust me, magnetic tape works much differently than standard rca line level or something of the like.
It will work, like I said (and your link illustrates), but like I also said, you must be careful, as that work may lead you to exhibit amplified ground fault noise...
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