Better training never hurts, but I also think that it's each pilot's responsability to learn as much as he can about the machine he is driving past the point of "reasonable performance" that he obtains together with his license.
The "reasonable performance" spoken of is in fact a legal requirement set by the authorities, and checked aggressively several times a year, not just at licence issue.
Things may have changed since I was flying, but if you flew a full roster-especially long haul, you barely had time to get over jet lag, much less attend kids functions, mow the grass, get the car serviced, and all the other things that eat up your time. You had 2 sim checks a year (requiring some level of preparation no matter how good you are), one route check, and a host of short courses in dangerous goods, firefighting, ditching, emergency equipment, security, etc, etc, etc.
Where on earth do you find the time (and money) to make yourself a "better pilot"? And who is willing to pay for this superior knowledge?