WWS vs Blood Fury or Soul Burn

Scenario: If you use WWS vs Blood Fury or Soul Burn do you burn counters from WWS? ( I think no,but need to confirm)

Weighted Walking Stick 
Only usable before range is determined during the first round of combat.
Put this card with 5 counters on it on this minion; it becomes a melee weapon equipment that can strike: strength+1 damage. For each damage inflicted by this strike (even if prevented), burn 1 counter from this card. Burn this card if it has no counters. A minion can have only one Weighted Walking Stick.

 Blood Fury
 Only usable at close range.
t Strike: hand strike at +1 damage. This damage cannot be prevented by cards that require Fortitude f. If the opposing vampire attempts to strike with a weapon this round, he or she does no damage.
T As above, but for strength+2 damage.

 Soul Burn
 t Strike: 1R damage. This damage cannot be prevented by cards that require Fortitude f. If the opposing vampire attempts to strike with a weapon this round, he or she does no damage.
T As above, but for 2R damage.

 

No counters are removed:
groups.google.com/g/rec.games.trading-cards.jyhad/c/pFBC8AX1g60/m/QTKr_aQBTbEJ