Part 1 Sakura is notoriously shit in fights.
In her literal only 1v1 in all of Part 1, she goes for hand t hand combat first opportunity before resorting to shuriken and the Clone technique.
And in her 1v3, she threw Shuriken and Kunai at the same time, then more shuriken, then cut off her own hair to escape an attack(symbolic stuff, really), then substituted, then threw more kunai, then substituted again, then tricked a guy into thinking she was going to substitute, taking multiple stab wounds for a chance to stab a guy, then clamped her jaw down on his arm like a mastiff until backup showed up.
Then she helped fight Team Oboro, who were intentionally tiring the group out. She used a Kunai here, too. As you can see, by the time she fought Ino, she had far fewer weapons in her non-infinite storage space, especially if you include she used one saving Naruto from falling before and a couple for traps.
Now, what did she do against Ino?
She cloned herself, ran at her, Body Flickered, and then punched her with enhanced speed. Sakura, who's noted in the databooks for having had excellent chakra control basically her whole life, is absolutely going to use it. Kakashi immediately notes her chakra control surpasses Sasuke's, as well as all the other rookies'. The two then clashed physically, threw shuriken at each other, then beat each other up for a full ten minutes. Then Ino pulled her main trick, Sakura used her personality disorder to break out, and they punched each other again.
The problem here is that, while she is not at peak condition in any of these fights, the last one is her at her most injured and exhausted, with the least gear, against an opponent she doesn't want to cut apart.
While Super Peasant does win, it's certainly not a stomp. A thing to note is that Super Peasant is hard-carried by speed. Against someone Sakura's height, 75-90% of the time, it's going to miss the initial punch, and slamming its face into someone does no damage. It's gonna have to make the initial hit, then either keep pushing until it hits or do a kind of sweeping motion that leaves it vulnerable for a moment. And it doesn't have tactics either, it's just going headfirst into every attack.
I do think it has high enough stats to carry tho