The suspense would be just as great, if not more so, if each team was guaranteed a possession. Why? Because for every dramatic drive beginning an overtime that loses drama because it is not sudden death, there is a subsequent drive that obtains the same or more drama. If the first team with the ball scores a field goal, then the drama really increases. The second team has one drive, one chance, to score. A touchdown wins it, no score loses it. A turnover loses it. That is more drama, more suspense, more tension, in my opinion. Definitely not boring or inane either.
While historically there hadn't been a big advantage to winning the coin toss, which was why I was against changing the rules until recently, since they moved the kickoffs back to the 30 yard line there has been a distinct advantage. I don't know the current numbers, but I think it was something over 60-40. If that was true, then that is a big enough advantage to warrant a change in the rules.
And Bibby_Is_Clutch, you quoted me, but I do not like the college system at all. In my opinion that system is not appropriate for the NFL.