Here's the thing... you are going to want to fix the startup circuit at some point anyway. You know it doesn't work. So, fixing it may get your computer working again or it will at least eliminate one known problem.
In my case the middle one failed without any visible signs of corrosion
@croissantking is absolutely right. Many IIcis have a damaged UE13, UD13, or UB13 with no externally visible defect. Corrosion seems to seep in. These are cheap, available, off-the-shelf parts. I recommend replacing all three.
If you have a hot air gun, great. Otherwise, I recommend ChipQuick desoldering solder. Yes, it is expensive. So, get the smallest amount you can. It is useful in almost any stubborn electronics situation. It is just solder with a low melting point, so it stays molten long enough to 'float' off the chip with just a soldering iron.
1. If the area is not already clean, then clean it with isopropyl alcohol and let it dry.
2. Liberally slather the pins with flux paste.
3. Melt blobs of ChipQuik onto the pins of one side and then the other side of the chip. You want all the pins on a side touching the solder blob (unlike my picture below where I missed a few pins per side).
4. Now just move the soldering iron back and forth on a side, flip to the other side, and repeat. At some point the chip will just float off the pads because the solder blobs are staying molten long enough to not hold the chip.
5. With the chips removed, clean off any remaining solder with solder wick.
6. Clean the area with isopropyl alcohol and let it dry.
Now for the best part: you can test all of the connections with a multimeter without referring to a schematic -- because you can see them all! With multimeter probes, touch a pad and then touch each of the things the trace leads to. You may be surprised to find that some appear connected, but actually have little tiny breaks where the trace meets a pad or via. I have found several board with breaks around the red arrow area in particular.
I know this seems like a lot of trouble. But, it has been necessary on most of the Mac IIci computers that I've recapped.
- David