I work with control systems for turbines and compressors. Our standard procedure while removing cards from the system (while working with customer equipment) is to wear grounding bracelet connected to the cabinet.
We have the same equipment for testing of configuration, training etc in the office. With that equipment (labeled "In house only") all rules are broken. We touch it with bare hands, drop it on vinyl floor and misuse it the worst way. And guess what? It still works, some of them after 15, 20 years of abuse. Most modern ICs have built in protection against static discharge connected to every pin of the IC. Needles to say that the ICs can get damaged but it isn't that easy as most people think. The charge would have to be large enough to fry the protection. It could happen but it would be very unlikely.
Since cars, tractors and similar machines are considered especially harsh environment (exposure to low and high temperature, vibration, corrosive gases, moisture etc often all of the above in the same time) the used electronic components are hardened to withstand such condition.
Can welding fry the electronic components? Sure. If you use common sense very unlikely.