Actually Asuna doesn't even need to use any potion or crystal to heal as it says in her rpofile: Aria of the Starless Night{
Regeneration (Low-Mid over time (All VR Avatars can regenerate entire limbs within 2-3 minutes), and Floor 25-49{
Regeneration (
Mid-Low via Battle Healing. Only works in-combat. The stronger the enemy is, the less effective the in-combat regen is).
Also Asuna's own Information Analysis is roughly on par with Taskmaster's as it says this in the former's profile:
Information Analysis (An extremely quick learner. Able to learn things by just seeing or experiencing it once). Which when coupled with the fact that Asuna's intelligence is rated as "Gifted" while Taskmaster is only "Above Average", I'd say she won't have any trouble keeping up with Taskmaster.