Question: Electrocauterization which does not burn, does this fall into the prohibition*?
Answer: “What is apparent is electrocauterization is from the way of fomentation. It is like hot water which is placed in a vessel then poured on the body. So it gives it heat and does not burn. It is better than cauterization if it leads to a benefit. This is because the body remains upon its [original] form”.
[Sharh Sunan Abi Dawood no. 435]
One of the Ahadith that speaks against cauterization is the following:
جَابِرًا، عَنِ النَّبِيِّ صلى الله عليه وسلم قَالَ “ إِنْ كَانَ فِي شَىْءٍ مِنْ أَدْوِيَتِكُمْ شِفَاءٌ فَفِي شَرْطَةِ مِحْجَمٍ أَوْ لَذْعَةٍ بِنَارٍ، وَمَا أُحِبُّ أَنْ أَكْتَوِيَ
The Prophet (ﷺ) said, “If there is any healing in your medicines then it is a cupping operation, or branding (cauterization), but I do not like to be (cauterized) branded.
[Bukhari no. 5704]
Electrocauterization is mainly used to “prevent or stop bleeding after an injury or during surgery, remove abnormal tissue growth, prevent infection” [https://www.healthline.com/health/electrocauterization#Overview1]
Faisal Ibn Abdul Qaadir Ibn Hassan