I'm not very far (beat the first trial), so no spoilers. This is just what I think so far.
First off, don't come into this assuming that Navi is the most annoying thing ever. I did not mind Navi so much. She says "Hey Listen" fairly often and it can get pretty goofy if you run past a point of interest too many times, but it's not that bad. She generally stopped talking so much after the first 3 temple. I'm not saying Navi isn't annoying, but good lord, here comes Fi.
I am not 5 years old, nor is this even close to my first video game. I do not need to be told what to do IMMEDIATELY after someone else just told me what to do. When a little robot tells me I need to find 3 devices, I do not need Fi to pop out and tell me that finding 3 devices will activate the machine. If I went up to the spot the dowsing pointed to, played the song, and a big circle appeared on the ground, I do NOT need to be told that this is what we were looking for. If I just got an item that lets me swim underwater, of course I'm going to look for a new path. This is information that could be given through the hints the player chooses to be given, NOT constantly stopping the game to inform me of. The vast majority of Fi's dialogue could take place without pausing the game, and just occur while Link is still moving. This is what Zelda needs. It needs to be intuitive. It does not need to pause the game and show you EXACTLY what happened every single time you step on a switch or shoot a switch or anything. Just direct your attention towards it. Maybe some people have seen Sequelitis, which goes into almost excessive detail as to why the highway intro stage of Mega Man X was so effective at teaching players without stopping them. Nintendo, however, sees fit to give the player absolutely no credit at all. The player is not allowed to figure out anything by themselves, because Fi will just outright tell them through unskippable dialogue. Imagine if every time you got an item in Super Metroid, the game paused, told you what the item does again, and explains that there is a high probability you will need to proceed to an area you have not previously accessed.
Maybe people agree with me anyway and I'm just trying too hard.
Tl;dr: Master, I calculate a 95% chance that you are thinking "No shit" every time I speak. Nintendo needs to give the player some credit, and stop breaking the flow of the game for redundant dialogue.