The $8k gets underwritten in two places, and only one of them is the appraisal.
Appraisers respond to condition ratings and to items a comparable buyer would price, so a new roof, HVAC, or a full electrical service upgrade can move the adjustment grid. Supply lines, a water heater with life left, and a rebuilt panel interior usually land as maintenance, meaning zero credit at refinance. Assume no ARV lift on that portion and the analysis gets cleaner.
The second place is the capex reserve. If deferring the mechanical package means a $1,600 water heater and a $3,000 panel job inside four years, plus your $2,200 turnover cost happening one extra time over an eight year hold, the spend recovers on cash flow rather than on valuation. That math depends entirely on hold length. At an eight to twelve year horizon it usually clears. If the owner's real plan is to sell in year three, the cosmetic-only spec is the rational one and you're arguing against their actual exit.
The part that bites owners in this cycle is that the $8k is spent before the refinance, so it comes out of the pool of capital they were counting on recovering. With cash-out proceeds already coming back light at current rates, every dollar of non-appraising rehab is a dollar that stays trapped in the deal and delays the next purchase. Some owners will accept slower cycling for a lower-maintenance asset. Others genuinely cannot, and that's a portfolio constraint rather than a rehab opinion.
One thing to check before you make the pitch: over-improving past the comp ceiling in the neighborhood earns nothing in either place. If the top of the block is $205k finished, mechanical spend that pushes all-in cost toward that number just shrinks the equity cushion.