I've found all the poodles I've owned were neurotic and unstable without exception.   The difference between a cross breed and a pedigree breed may not be very different.   Pure breeds give an indication of what sort of behaviour and temperament one can expect;  a cross breed may or may not give an indication of what to expect.   

In terms of health either may be good or bad;  in cross breeds it's quite possible to get 2 dogs put together who both have the same bad genes;  in pedigree dogs inbreeding has been the death of many a decent breed bringing as it does, a reduction in the number of genes available to the offspring [and inherent problems with immunity].

Kyeho, mine certainly aren't neurotic or unstable. They are well behaved - most of the time - extremely friendly and very caring. They just love people and are well known around here for their friendliness. Even the postie stops to cuddle them. They seem to get classified as 'poncy' dogs but I've found them to be agile, outgoing and pretty rugged. Each to their own though 

I do think what breed of dog you have will play a role in what you can do with it.   Some breeds are not overly affectionate at all whereas others are all about affection.    I do agree that how you treat either is the key to having success with them as pets.