It really has not changed much at all and I would have to assume this is the case the world over.
Prior to becoming Chief officer on larger vessels, the only opportunity to handle a ship that I had was while I was a newly minted Watch-keeping officer. It was on my first ship: a small passenger ferry that carried only a Master, Mate, Engineer and a seaman/cook. During my first tour onboard the master suffered a medical issue shortly after leaving an isolated port while en-route to a port that was more closely connected to civilization. Being the only mate onboard I had to step in and dock the ship. Thankfully It was a very maneuverable vessel and the weather conditions were good at the time and I had no issue getting her alongside. That Master was taken to hospital and another Master was sent to us before sailing.
After that I had no further ship handling experience until I became Chief Officer on Product tankers where I received very limited opportunity to handle a vessel under the supervision of the Master.
Now that I am sailing as Master almost all the ship handling done on my vessel is under pilotage.
On a side note I have had the opportunity to sail under some masters who were exceptional ship handlers, the best ones as someone said earlier were the ones that never had to boast about it.