Overview:
"This lets Stunky outspeed a large portion of the tier, but it does have to watch out for the few faster Pokemon, as it is weak to most of them."
Don't say it's weak to most of them, because it's only weak to a few.
Gastly and Abra have risen drastically in prominence since this analysis was initially written to the point that Stunky is now a genuinely valuable addition to even the average team, so perhaps add a line at the end saying that Stunky is still a good choice for a team if Gastly and Abra are particularly troublesome so it's left on a good note.
Bulky Pursuit:
I think that the bulky set should be moved above the fast support set, because being able to avoid the 2HKO from LO Gastly/Abra's Dazzling Gleam is an enormous boon, much more than it was formerly, when considering how they often carry Substitute to get around Sucker Punch.
Fire Blast is extremely useful when paired with Defog and probably deserves a more prominent slash on the Bulky Pursuit set.
A better move order would probably be:
Pursuit
Sucker Punch
Fire Blast / Sludge Bomb
Defog / Sludge Bomb
Play Rough should just be left as a possible option in move descriptions because frankly a slow unSTABed Play Rough off Stunky's average unboosted Attack stat is underwhelming at best, and Defog and Sucker Punch are much, much more useful in most cases. Flamethrower fails to 2HKO Eviolite Pawniard from full health or Magnemite after Stealth Rock, so it should also be relegated to move descriptions. Dark Pulse simply doesn't offer as much as Stunky's other moves so it should be left to Other Options.
Other Options:
Remove Fire Blast, because it is now on a main set, and add and describe Dark Pulse.
Mention Choice Scarf and Life Orb as possible item choices for a somewhat gimmicky offensive set.
Checks and Counters:
Under Pawniard's mention, replace Flamethrower with Fire Blast.
There's a lot of changes because Stunky has changed a lot recently. I'm going to withhold the final QC stamp because somehow, despite all of our discussions about this analysis and three checks, we have entirely failed to even consider berry juice as a possible item on the fast set in particular. This is QC's fault, not yours. In the mean time, the changes I suggested above should be good to implement.