This does not appear to be a universal problem.
For example, the Contour Next test strips make specific mention of this not being an issue for that particular BG meter/strip system:
Automatic compensation for many common interfering substances (such as acetaminophen and vitamin C)
The FreeStyle Libre system however has the following note which indicate this is a problem on their system:
Taking ascorbic acid (vitamin C) while wearing the Sensor may falsely raise Sensor glucose readings. Taking salicylic acid (used in some pain relievers such as aspirin and some skin care products) may slightly lower Sensor glucose readings. The level of inaccuracy depends on the amount of the interfering substance active in the body.