Great job!
Really happy for you! Nice to have a fully working board, and it was worth saving!
Yeah, the -ES2 DAC substitution was probably a stretch, but glad you were able to find a comparable Bt473 part. Also, it is helpful for others that you confirmed that the AD/Bt parts are a direct swap (as expected). SuperMac used them interchangeably for multiple reasons -- availability, quality issues...and to angle for the best vendor pricing (or other vendor management reasons), of course.
I think your assumption about C13 is reasonable - .1uF is good enough, but I will still measure it for you for the sake of detail. Given that the board works fine, it's not going to matter and it's probably just a bypass cap.
re: Analog Devices vs. Brooktree
As I may have mentioned in another post, in the late '80s, Brooktree had an issue that caused shipping/RMA headaches for SuperMac. I think the problems related to the Bt478 and sudden palette-shifting on the
Spectrum/8 Series III (exacerbated by temperature) that brought about the 2nd-sourcing to Analog Devices parts and use of the AD478. It was the only way for SuperMac to keep shipping at a critical moment in its history. So, if you happen to have a Spectrum/8 Series III board with a Bt478 on it and a v1.0 ROM
and you warm the DAC (heat gun, but don't overdo it) while changing bit depths in/out of 8-bit and switching color/grayscale (maybe best tested in 19" 75Hz mode), if you notice that the colors suddenly go wonky (palette shown in the Monitors cdev), then you know why. If the board has a later ROM and a Bt part (post-resolution), it's probably OK. There was a failing run of parts, not all boards/parts showed the problem and not all early boards were returned. Bt eventually corrected the problem, but there was a stressful gap in manufacturing and shipping. If your Spectrum/8 Series III has an AD478 on it, then you know that it probably came from the period after initial production and detection of this issue. That being said, there were many Spectrum/8 Series III boards with Bt478s on them that were fine...and also from later in production after Bt addressed the issue.