If you read carefully you would have noticed following things:
I said changing amulets with only properties is OK.
I never said, a magical cloak doesn´t function as a normal cloak.
Also I said, you don´t want opinons, but only approval. You don´t need approval from me, as I don´t game with you. You need approval of your DM.
So, In my home games I tend to say YES to creative ideas. I even allow a lot of things outside the rules. But your question let my *system abusal sensor* ring. If its not your intend, and the example you gave later seems like you are NOT abusing the system powerwise, i would allow switching.
BUT: you will have to pay your minor actions. Three minor actions. (draw, put on, put away) sound right to me. And you need a free hand.
A Zipper to switch slots won´t do it. This sounds like trying to circumvent action economy balance.
So, because you are desperate to get it:
Here is my approval of your idea to switch amulets mid combat. Hand it to your DM please.
Okay lol I think we actually agree

I am not seeking approval but playing devils advocate as I was was only joking with the boots and zipper, but serious on Neck / Head / Symbol slots.
Mmm... now how about the Hand slot ?