Since I just finished TLaD and TBoGT these past 2 weeks, I can safely say that Cutscenes Watched can actually be 0. I guess I wasn't mashing the X button fast enough or wasn't paying attention at times. I have Cutscenes Watched: 1 in TLaD and still unsure how that actually happened and it happened at the very beginning with Clean and Serene or something and then in TBoGT, I have 0 as the Stat didn't even show up, period, in the Pause Menu. It only shows up if you actually watch them, unlike IV, where the Stat is visible since the beginning of the game. I am currently working on the 11.95% Starter Save in IV and should be finished with in in a couple weeks I suppose and then to finish it up to 100% with the usual Minimum Stats and 10 Special Vehicles fully converted to AP.
About Stats, I look at Deaths/Busted/Cheats/Missions Failed as the BIG and most important Stats in the Pause Menu, but as of late, I also been interested in keeping Safehouse Visits/Times Saved to a minimum as well as Pay and Spray Visits. In regards to the HD Era, I also like having 0 Cutscenes Watched as well as 0 Taxi's Hailed and Money Spent on Taxi's 0. Also all the Minigames, I don't like to have any losses, either.
Granted, Times Saved is bugged in IV, TLaD, and TBoGT. If you do some stuff and then save, but reload immediately, the Times Saved goes back down to 0. By the end, it can literally remain at 0. In my new TLaD and TBoGT, I have 0 for the Times Saved Stat and in IV, I currently have 0 for Times Saved, too. It only increases if you SAVE, and walk out of the Safehouse and continue and then save again. But if you reload after saving every single time, it remains at 0 the entire time. Another bug found in TBoGT is Henrique and Armando's Respect. It remains at 50% for H and 60% for A. There physically is no way to get it higher than that. However, their Like can reach 100%. I like having the entire Pause Menu saying 100% Progress, Like, and Respect for all the Characters.