Yeah, these skills essentially are independent of one another. Even though your HP pool increases, (also, later, a trait will raise it to 20% HP and Healing), the convalescence is still independent. To be perfectly honest, Thrill of Battle isn't a Warrior's strongest CD. It isn't BAD, but it's just the fact that all it does is just kind of inflate your HP. Sure, big numbers look good, but the only REAL benefit is the healing from it. Essentially, all it is, is another Second Wind (I highly suggest getting Second Wind too). Now, pairing Second Wind with Convalescence I am pretty sure is a good combination. Essentially, a macro like this...

/ac "Convalescence"
/wait 1
/ac "Second Wind"

That would be catalytic, as Second Wind is not % based, but Strength based, meaning the heal varies and has a potency factor. So the heal will be boosted by the 20% of Convalescence.

Quote Originally Posted by Konamisune View Post
Will I be safe to use something like:
/ac "Bloodbath" <me>
/wait 10
/ac "Berserk" <me>

while I am spamming other abilities?
As long as you do not use another macro in that 10 seconds, you should be fine. Starting another macro during a macro will cancel the one in effect, causing the next skill to not be triggered.