Tire warping due to prolonged deflation

Hello All,

i bought some tires about a month ago (just some cheap Wan Li's), one of which i discovered to have fully deflated this week, could be as early as Monday pa. The tire shop tells me this is because of a leaky valve(pito).

Now i read somewhere here on tsikot that leaving a tire in a deflated state, while attached to the car, can warp it. Is one week enough to have warped it beyond repair/use?

Kainis, All because i forgot to have the pito replaced :p