I think you're missing my point. It doesn't matter if you show tap ins or not. By extending time, rounds last longer. You can't show a five hour round in three hours if you're showing it live. Watching it after the fact is what we have now, and it's obvious, by the online streaming efforts up to this point, that's the best we can do (in terms of TV).
If you want more people than those with personal interest to get excited and watch, you're going to have to work towards live coverage (with internet coverage, this is a requirement more than a luxury). With that comes a lot of headaches no other sport has had to solve. Wooded courses being the biggest headache.
With the wonderful improvements in coverage we've seen from our youtube posters, I think we're getting closer every day.