Note that white collar jobs aren't all 'intelligent', there's a fair amount of tedious manipulation of purely abstracted data in computers. This is the part that, in theory, maybe, could be changed by LLM approaches. Some debate can be had about which white collar jobs are which, and how far the LLM can go or not, but those at least are in the ballpark.
If a part of a given blue collar job couldn't be done with gloves more substantial than medical gloves then it's pretty far from being within the reach of any AI technology today. The approaches to do anything require training data, and instrumenting the dexterous and sensitive work of hands is just not a thing. It's why the humanoid robotics demonstrations remain embarrassingly bad for these companies that *usually* at least can pull off superficially impressive demos. The fact that even without AI, the tele-operated demonstrations fail because humans suck at doing this stuff with even gloves on, let one trying to do it remotely with controllers.
By comparison, driving is just impossibly easier for machine learning to try to take a swing at. Humans operating almost entirely based on vision and input entirely into two pedals and a wheel. Supremely instrumented and very coarse grained controls to manipulate. Even with many lifetimes of "experience" to work with for relatively simple actuation, this has been a huge challenge and still not closed. HVAC and plumbing are so much more complex with inputs that aren't possible to capture as training fodder, with lower possible volume of training to get even if you could instrument everything.