I haven't used a dish drainer since the early 80's.
Never had a dishwasher (as an adult, but we did have one at home), so all dishes are hand washed, dried immediately and put away.
I think a kitchen looks messy and unkept if there are dishes (dirty or clean) on counters or in the sink or on a drainer. And dishes spot horribly if left to air dry, so I always towel dry and put away right away.
I don't have dish soap, or sponges or drainers or anything that pertains to dish washing showing in my kitchen between washings. The kitchen just isn't cleaned up if dishes and their washing/drying equipment is left out.