If you have at least 6 soul going into this room you can do a fireball stall over the water. This on its own should be faster (the exact timesave depends on the movement prior in the room, but it should be the same as the All Skills dash slash which they do every time) This loses about 0.1s to normal movement if you turnaround fireball and about 0.25s if you fireball forward, but if you fireball forward you can also kill one or both of the enemies and collect their geo. Especially useful if you're doing pacifist mantis pogo since you're usually down around 10 geo compared to other strats.
This was found by JaGOAT (as many cool strats are), but I'm posting on his behalf since he isn't really active here.
PSA about geo routing (particularly negotiating Spire geo, Lever geo, and Herrah Rock geo):
The colors on the last table represent the "tiers" of money, where green is fastest but gets you the least, yellow is average on both, and red is slowest but gives the most. They're ordered in this way because Herrah Rock + Lever is roughly equivalent to Spire (~30-35 geo).
So, from this the strats are:
If you're filthy rich (531 is the minimum assuming you pick up all the geo that drops) coming out of GHusk, Lever geo in Chandelier and in Lantern is the fastest.
For all other cases, start with Spire geo in Chandelier and get Lever geo in Lantern. If you have an extra cast after Spire Geo then also collect Lever geo in Chandelier. If you still don't have enough, get Herrah Rock geo after. Lever in Chandelier isn't worth if you're gonna get Herrah Rock after since it's faster to just get Spire in Chandelier and skip Herrah Rock, but the opposite is true for Lantern.
18
13
7
5
5
5