I’m just a parent, not a medical professional, whose infant went through a lot of blood work with multiple parameters very out of range. It took five or six primary care physicians, six months, and probably twenty five labs to figure it out. The helpful recommendation in that case would have been something like “given the trend & relationship of these six out of range parameters, these other three specific blood tests could support or reject conditions X, Y, and Z”, e.g. moving beyond the cbc and so forth.
Perhaps it’s simple for most patients, but we learned a large number of the markers are really just second order effects. For example, concerning readings on your liver enzymes can mean a million different things, and are only useful when integrated with other data to develop a hypothesis on the root cause.
I agree with your point, liver enzymes (or all medical tests) don't have relevance without specific pre-test probabilities and diagnoses in mind.
But what you're arguing we should do is what physicians are taught to / should do. We also have plenty of great point of care resources (UpToDate being the most popular) that provide current evidence based recommendations for investigation of abnormal bloodwork written by experts that you really shouldn't be doing arbitrary tests.
Without knowing the details of your case I can't comment very well, nor is this my area of expertise, but a child with multiple persistent lab values seems out of the scope of most primary care physicians, and why multiple? Are you somewhere where you weren't sent to a paediatrician or don't have access to paediatric hematologists/hepatologists? Some conditions unfortunately involve a lot of investigation.
There are obviously also bad doctors. I don't mean to suggest every one of us is good (just like any profession). AI would be a great tool to augment physicians but we just have to be careful about what outcome we are trying to achieve. Diagnosis isn't a linear thing like increasing transistor density it comes with tradeoffs of overdiagnosis and harm.
Perhaps it’s simple for most patients, but we learned a large number of the markers are really just second order effects. For example, concerning readings on your liver enzymes can mean a million different things, and are only useful when integrated with other data to develop a hypothesis on the root cause.