Check out the point at 38 sec. Thats what I was talking about:
Looking good, slugger!! Thanks for posting video. Much to discuss...
Forehand approach shot at 0:35 - topspin shot, more or less dtl, nice and deep (pushes your opponent BACK so that he's farther away from you as you set up at the net). Cha-ching!!
Backhand slice approach at 0:46 - your slice is not deep and your opponent has a good look at a pass, but doesn't take advantage and sprays his shot. You absolutely had to go to net behind your slice because his short shot pulled you so far inside the baseline.
Forehand approach shot at 0:56 - this approach is also good because it's pretty deep, but you hit your approach from not-so-far inside your baseline and you have a bigger gap to cross. His reply comes back while you're at the service line. No big angles open for you until you get a couple more steps forward, so I'd say try to "freeze" him from there with a deep first volley, either right back at him in that corner or over in the other corner. Then pop your next volley through the open half of the court.
Forehand approach at 1:15 - topspin shot, right to your opponent and also not deep. Both this approach and the 0:56 approach are topspin forehands - they get to you opponent quickly and they come back at you before you can get inside your service line. He should have given you a lot more trouble with his reply, but I guess his crummy backhand let you off the hook. If either of these forehand approach shots are slower flying slices, you'll have extra time to get inside the service line. Not saying your should hit a forehand slice, but it's a dimension to consider.
With both the 0:56 and 1:15 approach shots, you're only just a step inside the baseline. I'd say that should often be a no-go area for rushing the net compared with having a ball that pulls you one extra step forward. Watching both of those points again, I can sort of relate because I was a serve and volleyer as a kid. If I'm being overly aggressive on a hard court, I might also attack the net from there, but it's usually a little too deep to work well unless I hit a fantastic approach shot that lands maybe six inches inside the far baseline.
Forehand approach at 1:27 - sort of a snowshovel shot, but it's a good approach because you guided it deep to his end and he coughed up a free lunch off his heels.
Forehand approach at 1:39 - another zippy topspin shot that comes back in a hurry before you can get inside the service line. Since your approach isn't deep, he's not back on his heels and can just step into a routine forehand.
Btw, I can't believe that you didn't just hit every single approach shot to this guy's backhand. Woof!!
The slice approach shot is still as effective today as it was 40 or 50 years ago - it gives a net-rusher that vital extra time to get forward. Even though it doesn't rob an opponent of time to set up like a quicker topspin ball, it also doesn't sit up in an opponent's strike zone where they can whack it like a topspin shot.
Both a slice and a topspin approach are more neutralizing when they're placed deep near the opponent's baseline. No matter what, that forces the other guy to hit his shot from farther away from us as we close the net. Your topspin approach shots that land short look like they put you into even more trouble than a short slice. I'd say use that topspin approach when you can force an opponent scramble and hit on the run. If you have to hit right at him, slice it so that you can get forward. At least that ball will skid and stay low.
One other aside - practice some of those high putaways and exaggerate turning sideways. I think that remaining a little too square to the net is leaving you too prone to "waving" at the ball and those can sail too often (I sometimes do that, too).