No, they just make earwax problems worse by compacting the wax and pushing it further into the ear canal.
You can buy ear drops containing carbamide peroxide that will dissolve excess wax safely. No prescription is required in the US.
Why you shouldn't use cotton swabs to clean your ears (CNN 2017)
Actually I claim being the first one - about 30 years ago when I was a teenager I had the idea to cure my sinus infection by honey. Tried once, had similar burning result as you did, and an allergic reaction on top of it (heard of pollen allergy? - thats what honey is full of). Concluded as a failed experiment.
From evolutionary perspective I do not see how ...
I had never heard of these things and never had them. I had to find out what they are and came across an article in Volume 21 - Issue 7 - July 2013 edition of The Dermatologist.
The article says that
An omphalolith – also referred to as an omphalith, omphalokeratolith or umbolith – is a keratin and sebum containing stone-like mass found in the umbilicus....
For nasty sinus infections, which are generally bacterial, "fighting the bacteria with lots of sugar" seems like a very bad idea to me.
Viral sinusitis generally resolves within a few days - it's very difficult to demonstrate that any home remedy speeds up healing in such a short window.
That said, honey has been demonstrated to be somewhat anesthetizing ...