Panel power is essentially arbitrary, and dictated solely by the specific technologies and circuits used. All else being equal, it makes no difference. The biggest question is indeed total power, and whether you are attempting to be completely offgrid, in which case, you would need to meet the peak demand, in addition to ensuring that EOL requirements are met. EOL may require both allowance for degradation of the panel output over lifetime as well as potential increases in peak power demand. I know that my power demand has significantly increased over time, and I'm probably consuming double the power that I used to consume, even within the same house.
Note also, that peak power needs to be correlated to the time of day at which that occurs. If your peak power occurs at, say, 4pm, then you need to account for the fact that insolation will have dropped off at that time. This may require substantial overcapacity, and may not be worth the investment. That's a trade the owner must make.
In most residential applications, peak power may not be so critical, particularly as many homes' peak power consumption occurs near the end of the day, e.g., the A/C kicks on at 5 or 6 pm, and the insolation could not possibly support peak power without doubling or tripling the panel areas. In such cases, the desire may be simply to ensure that the watt-hours supplied to the grid is just more than what's consumed, to minimize the utility bill.
Panel power is more of an issue with respect to total available roof area. Ideally, you want to minimize the structural loading on the roof, so you want panels with the highest power per roof area. This is often already limited by how much south-facing roof area you have. There is at least one company that builds solar panels that are form-fit compatible with roofing tiles, ala EagleLite, i.e., to install the solar panels, you'd remove the existing Eaglelite roofing tiles and replace them with the solar panel shingles that cover something like 10 roofing tiles. This would reduce the loading on the roof, and minimize the esthetic impact.
Another factor to consider is whether your panels come with micro-inverters, or whether the panels feed into a shared inverter. There seems to be a divergence of opinion on that subject. Seems to me that microinverters are more flexible, and more fault tolerant, assuming all else being equal.
TTFN
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