The description of Quickness indicates that it only works with Routine actions.
You can perform routine tasks—anything that can be done as a routine check (see Routine Checks in The Basics)—fast, perhaps very fast. Subtract your effect rank from the normal time rank to perform a task to determine how long it takes you. So, for example, if you have Quickness 7, a routine task normally taking an hour (time rank 9) takes you (9 – 7 = time rank 2) 30 seconds. Non-routine checks are not affected by Quickness, nor is movement speed.
Without Skill Mastery, which allows routine checks in non-routine situations for a skill, does that mean that, under pressure, the person with Quickness can't employ their skills? That when The Flash is being shot at, his ability to quickly perform normally routine tasks goes away? That seems counter to the source material, and also counter to the Time Stop ability in the Time Powers Power Profile, which includes Quickness with a Quirk that only routine actions can be performed.
Time Stop: Quickness (Subtle 2), Speed (Subtle 2), Quirk: Limited to routine actions while active (–4 points) • 2 points per rank
The 2E version instead used a version of routine tasks based on the "Take 20" mechanic which applied to skills where there was no penalty for failure and included on the chart which skills that could be used for.
You can perform routine tasks quickly. For purposes of this power a “routine task” is one where you can take 20 on the check. At rank 1 you perform such tasks at twice normal speed (x2). Each additional rank moves your speed one step up the Time and Value Progression Table (x5, x10, x25, and so forth). At rank 20, you perform routine tasks at 5 million times normal speed! Tasks where you cannot take 20 (including combat actions) are unaffected by Quickness, nor is movement speed