These two comment are rather contradictory. The time spent checking tyres must far outweigh the time taken to repair 3 punctured tubes? Life's too short to spend it staring at my tyres.
I reckon my road/commute bikes haven't had a much worse puncture rate than you and I never check for bits stuck in them and run my tyres until the inner layers start to show through.
To be honest, I accept that the two camps are never going to agree on the topic of whether to repair or just bin & replace, that is usually a personal choice of the individual. But please don't try to justify the unjustifiable with flawed arguments. The few minutes spent checking for foreign bodies after every ride would add up to more than enough time to repair a handful of tubes every year and the vast majority of punctures are random events that happen instantly, i.e the incident of riding over something sharp and the penetration occurring are simultaneous, regardless of whether you suffer an immediate deflation or a slower, more prolonged let down. No amount of tyre checking will stop that.
If your time really is that valuable then what you should be doing is not checking your tyres after every ride and throwing away each inner tube at the first puncture.