...okay,
= Low-Mid Regenerationn, at the expense of some of the energy: Valev's, while Possibly Mid, also seems to be described as taking a bit more than what I usually see in JoAT
= Various hax resists not relevant to this match-up in particular
= Hope having 735 Tons in AP/Dura to Valev's 643 Tons countered by the latter's generally more useful from what I can see Stat Amp
= Homing ranged attack clashing: Kiri better defensively with their broad blades making convenient shields, bullets better offensively since you know, they're faster probably/more designed to fly straight
V+ Consortium Flame seems generally more reliable than Light Control for landing hits
V+ Probably more skilled, if 20 years old versus probably not 2000 yet but still actually means anything here
V++ Can stop time. Even if it's limited here with most of this being a firefight, it can reliably close distance, for...
V++ Melee. Hope seems to be generally lacking in melee options and Valev's Kiri seem more melee applicable than her revolvers (inb4 Gun Fu happens), on top of being more of a melee specialist. Combined with Time Stops, there's nothing stopping him from just periodically closing the gap, taking a swing or two, and continuing from there.
V- Valev's a loose enough canon to get himself also potential trouble against a stronger-ish? sorta opponent
H+ To her credit, is physically stronger over extended periods, and at least discounting the skill/experience discrepancy could in theory out-wrestle or incap Valev in that way? Except she'd have to burn through all his mana first, so he couldn't just Time Stop.
H+ ...ranged combat? I mean, to an extent at least, tens of meters while some of Valev's have hundreds, but at least its more of her forte
H+ The whole "can survive hits that should kill someone for sure, until the soul's busted" thing does help, yes.
I see arguments for at least some things Hope has getting wins off, depending on the circumstances, sure- Light Manipulation into Blindness into Homing Bullet to hopefully the brain stem, maybe- but nearly anywhere she'd shoot could be undone by chronomancy-based Regen. But honestly with how easy it seems for Valev to just... Time Stop, over and over, and keep forcing the fight outside of Hope's mid-range comfort zone, I just don't know about that actually happening. And I really don't see Hope winning a fight in close range.
If she were smarter, I'd see a good argument for using the blindness windows to back off and set up tricks, or get good angles for shots, but as it stands she's effectively a novice chess player trying to beat the World's Greatest, first try (Average vs. Genius).
Which isn't even getting into that Soul Manip. Resist. Even if it isn't strictly regarding its destruction prior to being knocked out of its physical body, it might not be enough to stop Valev from just eating her soul upon the first "death". I don't really know how potent said hax is, exactly, or how quantifiable it can be here, but it feels at worth noting. So, yeah.
I'm hesitant to call it a stomp, since Hope can legitimately win, but... Ooph.