By that logic you could run a HDMI cable to the moon and back and the signal will be fine.
In reality you get signal attenuation, even with a digital signal and you need to combat this with either higher grade cable or active signal repeaters. More info here.
Most likely with a 15m £10 cable you either got lucky with a good value/nice quality cable, the devices on either end of the cable are good (good error correction and sensitivity) or you aren't noticing the evidence of HDMI signal loss (artifacts like sparklies).
+1
Some very well made points there.
