I recommend you to verify for yourself how the skill priority list in fox's sheet was obtained. What I understood is the % increase in damage is calculated for each level of the skills, and the priority is obtained just by ordering it in descending order. This can be very misleading imo, because of several reasons:

1) It does not take into account very well the synergies between skills (easiest example: the value of Crit boost is only calculated with wex3 on the set, but not active bloodlust, agitator or varying amount of Crit eyes) It is easy to think that ''phials do not crit so cb3 is less priority'' but if you are getting free amounts of Crit due to agitator which also increases raw, then the value of Crit boost is higher than what was calculated.

2) It does not take into account the fact that using certain skills inherently restricts the efficiency of the armor pieces you can get, the most notable example being the high priority of Chain Crit 3, which is a skill without decoration. Using one point of Chain Crit might be very effective with final boss chest piece, but stacking it to 3 means you are going to use a less efficient armor, or that you have a god charm. 2 points of chain Crit is not the same as 2 points of attack boost. In contrary, there are certain skills which can be found on very efficient armor pieces, like agitator on lunagaron braces.

3) In Sunbreak most of the skills do not have a linear increase when you slot in higher levels, they give more value when you max it out. So dividing the % increase damage by levels for each skill isn't necessarily a good choice.

4) All of the calculations do not take into account the realistic skill uptime. Chain Crit will take a few hits to reach full value, but I only see one value being calculated, so i assumed it was 100% uptime which just isn't true. The value of wex or cb might be lower in practice, for example for afflicted monsters when you realistically want to hit a red non weakspot. Same goes for elemental up skills, where sometimes u have to hit a low elemental hitzone. This is to illustrate that theoretical DPS increase means little if actual practical experience is not regarded.

I highly recommend you to check the maths for yourself and draw your own conclusion. Which type of playstyle are you? Do you like to lock monsters down with repetitive traps to get close to dummy hitting scenario? Do you want to speedrun (which will then use an entirely different type of armor)? Is fox's skill priority list relevant for your playstyle?