Brand name clorox has cloromax which is a polymer - not good & may definitely contribute to foaming - more so in a hot tub than a pool due to water volume & aeration.
I would definitely scoop out the foam & gunk & wipe it up w/ a microfiber rag.
You probably need to clean/ rinse your filters as well.
Get u some pool bleach (chlorinating liquid) or some unadulterated bleach & leave the clorox in the laundry room.
Unadulterated generic bleach is getting hard to find.
I buy all my liquid chlorine from a local pool store & get some at the end of pool season to get me through the winter.
The residual gunk can be from lotions, hair conditioners, self tanner, or fabric softener to name a few. I have to make a point to not apply those things before soaking or take a shower 1st & instruct others of this as well.
It never fails when my daughter has friends over that i have an issue w/ less than optimal water. Usually hair conditioner or lotion is the culprit. Us ladies & our beauty products

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Nothing a little extra fc & a filter wash won’t solve though.
If you’re always maintaining appropriate sanitizer levels according to the
FC/CYA Levels then there’s no need to “weekly” slam or use mps on a schedule - the cc testing & bather load is more the indicator of that need no matter how often it occurs.
most people who manually dose their spa increase to/near shock level fc after their soak if they don’t intend to use the tub again until the next day. This allows enough fc to oxidize bather waste as well as have enough residual to possibly get to/ through the next soak.
Fwiw i have never used mps - never had the need. I guess it’s possible your mps could have an additive as well

Liquid chlorine & a little dichlor here & there generally solves all my sanitation & oxidation needs.
Mps also skews cc readings which are an important indicator of sanitary water so I prefer to omit mps & keep it simple.