Yes, I receive the <<Quick Cast Activated: Your next spell will quickened automatically. >> (Should probably have "be" fixed in the text)
I did some further testing in the test-server, I noticed two kinds of behaviour in combat:
First case:
1. Initiate melee combat
2. Activate "Quick Cast"
3. Cast a spell between your 2nd and 3rd attack in your combat round (My character has 4 attacks per round)
4. Spell is quickened, generally, has some quirky animation twitching
5. No attacks of opporturnity from enemies in melee range, spell is "safe" to cast
Second case:
1. Initiate melee combat
2. Activate "Quick Cast"
3. Cast a spell at the end of your 4th attack, so at the end of your combat round
4. Cast is NOT quickened, does normal spell-cast
5. Provokes AOO
I tested the second case a multiple times, trying to recreate the issue. Sometimes it works as intended, the spell is quickened and is safe to cast without provoking AOO. But sometimes not, it is a timing at the end of your combat round if you try casting a spell, AOO is provoked.