Depends On The Player
Counting likely gives you an additional small advantage in a tournament. But you shouldn't raise your bet so much that it jeopardizes your bankroll when you get a high count.
In the last five or so hands of the round you should drop the count and size your bets according to tournament considerations, such as defending a lead or making catch up bets.
If your strategy is to jump out to a big lead sometime in the second half of the round, you may get some small benefit from timing it with a high count.
In my own experience, I've found that keeping a count distracts me from more important tasks, such as tracking bankrolls and sizing up opponents. I seldom do it any more. But if you're like many experienced blackjack players and counting comes automatically and effortlessly to you, by all means use the additional small advantage counting gives.