It's not the carbon so much that you are concerned about. Its the sulfur oxides in the exhaust getting trapped in the soot that then turn to sulfuric acid when exposed to moisture in the air. The carbon holds the acid onto the pan. This is also known as "cold end corrosion". This tends to occur most when diesel fueled exhaust is "cold" which is around 300F. Although it still happens to a lesser degree at hotter temps. A poorly tuned burner which is evidenced but excessive amounts of carbon soot makes this problem worse as well. Carbon from a poorly burning burner will generally produce "fluffy" soot and tends to form soot balls. Soot from a tuned burner tends to be harder and more tar like.
If the pin holes in the bottom of the pan are small and shiny on the inside of the pan its more than likely your corrosion issue is coming from the fire side. The area around the pins holes in the fire side will likely look dull or rusty and have a dished out look and be much larger than the hole itself.
Stainless tends to perform very poorly if moisture is held against it with a lack of oxygen. The soot layer if kept in a moist dark area will accelerate corrosion.
2017 25 taps on buckets got me hooked 1 gallon of sweet
2018 51 taps on 3/16 tubing/ DIY oil tank evaporator 8.5gallons finished
2019 60 taps 7 gallons finished ended season short
2020 New 2x4 divided pan ready to get away from the headache that is steam table pans
2021 off year due to pandemic and projects
2022 back at it