There shouldn't be any shame or stigma in them getting real therapy or psychiatric help for some of their emotional problems. For example, Rajesh has social anxiety. Howard has mom issues. Leonard also has mom issues, and Sheldon exhibits clear signs of autism and OCD.
If you care about science and using it to help make the world less confusing, why not the science of psychiatry or therapy? There are many scientifically proven treatments for all of their emotional and mental health problems, and the fact that these treatments exist and are fine and should be destigmatized is never addressed. As such, the show perpetuates the narrative that mental health interventions are only for extremes, not tools nearly everyone can use to help themselves cope with life. The show is being really irresponsible about this issue in a way that might be harmful to people influenced by it who find themselves relating to the characters. People should know that therapy isn't scary, isn't for the weak, and is really kind of for everyone, not just people who are seriously in the middle of a crisis or who are likely to harm themselves or others.