Honestly, I'm not super content with how sekhmet works atm. The only real application it has is for converting into combos and a few resets. Sekhmet is almost always a complete waste to try to use in neutral (and block) due to having no actual mixup other than L > H on the ground and everything being unsafe. You can avoid pretty much any threat sekhmet can muster by just being in the air and letting it waste meter as it is forced to get back to Eliza.
Maybe allow her to do an actual mixup of some sort by giving her a low outside of only being a chain starter? Like maybe have c.HP/HK be a low with the same animation as her s.LP/LK, but maybe a tiny bit slower and act like val's bypass in the sense that it passes through them if it connects and stops in front of them if it doesn't, and maybe sort of hit upward like the axe. In exchange, make this attack and j.MP and s.HP be significantly more punishable on block. This way its more of an actual gamble to try to use instead of "hold back if sekhmet was used on you on block and wait for free punish/ hold upback every other time"
This would obviously be a net buff since axe is already punishable on block and it gives her more options, but I do feel like sekhmet is lacking a little something.
Overall most people will probably disagree with this since hating Eliza is the new trend and she honestly doesn't need it, but Val didn't need half the stuff she got and I feel like this would make her a little more complete.