In your example games white just has no idea how to play the sicilian. He's playing an e3 + g3 structure (it's an almost nonexistent idea in the sicilian). That sort of incompetence is not something you can count on with English players, alot of them are sicilian players. They're often aware that's a reversed sicilian.
The Smith Morra is already quite bad for white, and what little value it does have relies on whites early initiative. As black you've sacrificed a pawn and you don't have adequate early initiative. It's quite a bad idea, tbh.
The amount of "initiative" white gets in the Smith Morra is very misunderstood. The move c3 is a use of tempo. Nxc3 doesn't gain initiative, it breaks even. The small initiative gain in the Smith Morra comes from:
a) the c3 pawn being liquidated, opening up the c file and the diagonal for the queen. Unfortunately for white, it's usually black trying to open up the c file and rarely does the queen use the diagonal. Infact, whites inability to queenside castle actually slows him down. The availability of Bc2 at some point is the only realistic use of liquidating c3.
b) the knight remaining on the kingside at f3 (it didn't take back Nxd4). The "initiative" here is only slightly significant. It allows white to play Ng5 or Ne5 as part of an early kingside attack. Of course, Nd4 isn't useless in attacks either, and if you wanted to push f4 it'd have been better to just play Nd4 and queenside castle. So your only sensible option is to not push f4, but play Nf3 immediately, and it will lead to a slightly earlier kingside attack, but one which if handled properly will fizzle out quickly (it's not backed by pawns and white has castled kingside)
The worst of it is, since black is up a pawn, he can often just not worry about pushing d5 and develop his pieces (sort of saving him a tempo). You can't bind him with c4. i.e. you are in a way giving black tempo in the line as well. It really comes down to the early kingside attack and if that doesn't succeed you should have played another line.
As black playing a "Reversed Smith Morra" you simply aren't going to translate this small initiative on the kingside into an early kingside mating attack. What will happen is white will just consolidate, be up a pawn, very easily push d5 and open the center up... and you will just be roasted turkey.
Playing the Reversed Smith-Morra gambit (or the Trojan gambit as I like to call it) against the English opening can be very effective. Many natural moves and development strategies can backfire quickly and get White into trouble. Here is a couple of interesting traps.
If you'd be interested in learning more traps, I also made a video analysis here: