Even with the desoldering tool, sometimes the pcb gets damaged but the components are usually fine. The capacitors may have a shortened life span due to the heat. The desoldering tool has a soldering tip with a hole in it and a vacuum pump. It melts the solder and then sucks it into a chamber where it is stored until enough builds up that it comes out when resetting the plunger. I have a can to collect the used solder in so that it doesn't get on the workbench or in the fume extractor.
In the pressure cooker, I found a 555 timer and an LM7805 voltage regulator. The 555 timer came out relatively easily, but the LM7805 didn't. I salvaged a passive piezo.
I was also able to desolder 2 LEDs and a capacitor. It was mostly solid state controls, there weren't any relays. There was a chip labelled BTA16 600B on a large heat sink, but it didn't need to be desoldered. I looked up a datasheet for it, and it is a triac (a type of solid state switch for AC). https://www.rcscomponents.kiev.ua/datasheets/haopinfsj489ydf945dt.pdf