Vedas are called shruti. But they are seen by Rishis, called DrushTAras. Since the Rishis saw the Vedas in some form, then Vedas should be called Drushya instead of shruti. Or the Rishis have to be called ShrOtRu. Why is not that usage in vogue?
Name shruti came from user's perspective not from drustara's perspective. As Shurti mean one which is learned only though listening and repeating from Guru.While Smriti by reading from book/something written.
see below sloka on rules for learning Veda's. One of them is "Likitapaathakaa:" chanting mantras by reading from book!.
geetI, shIGrI, shira:kaMpi, tathaa liKitapaaThaka: | anarthajnO,alpakaMThashcha paDEtE paaThakaadhamaa:
Actually the Sloka you have quoted "geetI, shIGrI, shira:kaMpi, tathaa liKitapaaThaka: | anarthajnO,alpakanThashcha paDEtE paaThakaadhamaa:" actually translates to what all is considered Adhamam(last word of sloka) which is the least favored. There are three levels, Uttamam, Madhyamam and Adhamam. Vedas are not supposed to be sung (Geeti) , or the speed shouldn't be increased for our comfort (Sheegri), should notbe Shaking the head while chanting (Shirakampi) and finally should not be written down and recited ( Likitha Pataka). It should be heard and then recited, hence its called Shruti.