Does using a non-HP ink cartridge void the warranty on the HP DeskJet 3630?

Using a non-HP or refilled cartridge does not directly void the warranty or any HP support contract. However, if printer failure or damage is attributable to the use of a non-HP, refilled, or expired ink cartridge, HP will charge its standard time and materials fees to service the printer for that specific failure or damage. (Page 6)