Cyclos has always been in theory faster. However modern routing minimizes the amount of time cyclos saves by doing a couple things on the way to sailing to Outset that we have to do at some point anyways. Notably Islet of Steele and ghost ship chart using the glitchless Diamond Steepe early trick.
I dont know how much a first try cyclos would save compared to today's routing because the routing would be vastly different.
Alternatively you could keep the current route but use cyclos to go to Greatfish and I'd suspect that would save 30+ seconds. I doubt many people would go for this though as it's a 1/8 chance and if you fail you'd have to reload your save and also reconnect the tingle tuner.
I should also mention that this routing requires the tingle tuner for DSE. A tunerless run would benefit even more from cyclos.
Soup has historically been a heavily debated thing in a few categories. The problem with glitchless is that you can't utilize soup glitch for unlimited drinks so you'd have only 2 sips for the entirety of the run. If soup saves time it would be a small amount and would be very risky because getting hit early could be devastating timeloss.
There's also the problem that there are a few places where a damage boost is a necessary timesave which would remove your double damage. Notably glitchless helmaroc skip and getting the basement small key in WT just from the top of my head. There are definitely a few others.
Glitchless is definitely a category that could be pushed a lot though and I wouldn't be surprised if a dedicated runner who really optimized all the combat would opt to get soup.
We already have a category that does exactly this and more (100% all menus + figurines). Only difference is that it allows glitches. There's no point to your category.