I'm hoping the following doesn't sound too harsh.
Peekay wrote on 02/05/15 at 15:20:26:
After 3c3 Nf6
the e4 pawn comes under attack. So anything on move 4 which neglects this threat certainly loses e4 pawn for nothing. The 4Bd3 move is to protect this pawn.
If this threat isn't dealt with immediately, e4 pawn is drowned forever. For example as you guys stated:
4d4 exd4
5cxd4 Nxe4
Which loses the exchange (gaining 1 pawn and losing 2)
As a coach, this line of thinking in a student would indicate to me the student is not ready for the mindset of the Ponziani. This shows a need to study tactics, and forms of compensation for material (initiative, development, center control). Without understanding these dynamics you are misevaluating positions very early on, which makes dedicated opening a study a significant loss of time and resources.
It's immediately back to basics at this point. If my student was not willing to change their opening to an Italian (at this stage I would suggest 4.Ng5 in the Two Knights and the Evan's Gambit against 3...Bc5—4.b4!?) or the King's Gambit, then I would at least suggest they begin playing over a lot of games (especially annotated games) in these openings so they could develop a sense of gambit play and material compensation.
You have already managed to take one suggestion here in the Ponziani and apply it to improve one of your blitz games, but your play in the other game and line of thinking shown here suggest you will benefit a lot more from tactics training and studying master games than from dedicated opening study.
Peekay wrote on 02/05/15 at 17:39:06:
1. e4 e5 2. Nf3 Qe7 3. Be2 a6 4. c3
When your opponent is playing moves like 2...Qe7 and 3...a6, it's time to give up the system of development and develop actively. You don't need the extra center support of 4.c3 because your opponent is not doing their part in fighting for the center. Either 4.Nc3 and 5.d4 here or go for a plan of 4.0-0, 5.Re1, and 6.d4 to break open lines and make that queen feel awkward. Beyond that, when your opponent neglects their development, leaves their king in the center and creates weaknesses (3...a6 and 5...b6) it's time to open the center so your active pieces and open lines can punish them. 22.Rf5 was indeed a blunder that lost the game. But you had another significant blunder prior with 19.Nd3, simply hanging the pawn to 19...Qxe4 when Black would have been better. These are both one move tactics which need to be prioritized over openings in your training.