Short anwser: Never put butter, oil, etc, on a burn. This would worsen the burn.
Putting butter, oil, or anything else would trap heat and make the burn deeper. It would also make further treatment harder and would make the risk of infection higher:
Don’t apply burn ointments. Like butter (or mayonnaise), these ointments, usually oil-based, won’t ...
I'll limit this to alcoholic mouthwash and capsaicin, the chief spiciness compound in chilis.
I am too much of a wuss to do spicy foods. However, when I read the "burning off tastebuds" in title of your question, what came to mind was the real reason why I use alcoholic mouthwash -- for that sensation that comes around after 30 seconds ...
Your manual is doing well despite its old age, but:
Nowadays, we no longer apply ice though, just water:
Do not use ice to cool a burn. Ice can cause frostbite very quickly when used on a burn because the skin is already damaged.
And we still apply no ointment, never ever:
Don’t apply burn ointments. Like butter (or mayonnaise), these ointments, ...
Burn treatment has changed over the years. When I was in the USMC Air Wing many decades ago, I suffered some pretty bad burns on both hands by trying to push a jet engine starter (turbine engine) with my hands. (Yeah, I know, pretty stupid.) They rushed me to sick bay and drenched my hands in ice water for 30 minutes. My hands never did blister. Since then I ...
For a one off experiment, a search of YouTube suggests that while uncomfortable, testing a dog shock collar on yourself is not particularly risky. That said, if you wish to avoid the discomfort, existing videos might get the point across.
Cooling burn-injured skin has a benificial effect on the extent or depth of the wound. This cannot fully be explained by only "taking away the heat". We know this, because delayed cooling still has a beneficial effect, even if the intradermal temperature has already fully normalized.
Cooling a burn wound influences important cellular and humoral mediators ...
The skin has several tasks. Among these are:
defense against outside threats like infection
keeping the body temperature as constant as possible
keeping the moisture inside
With large second/third degree burn wounds. Some or all of these functions are hampered. So we need to take care of these until the skin is cured.
The most important is of course to ...