If you're under 20, you can only gain a year of professional experience by playing at least 10 games in the NHL. Anything else doesn't count, whether you've signed an entry-level NHL contract or not. So, the player in your example would have one year of NHL experience.
This is why Kasperi Kapanen will be exempt. Because while he's played two years of professional hockey since signing his ELC (one year in Finland, another in the AHL), he was 18 & 19 years old in those two seasons. So, they don't count. And since he only played 9 games in the NHL last year, that doesn't count either.
Nope. At the end of this year, they'll both have played two professional years since turning 20 & signing their ELC's, so they'll have to be protected.