That's not quite true. Power fluctuations can cause instability or crashes, either of which could lead to data corruption.
That said, it's much more likely that a faulty or low quality PSU will be the cause of that rather than the cable, and there's a lot already written out there about why a high quality PSU is important.
RAM prices went down quite a bit over the last year or so and a 32GB stick of 3200 Kingston RAM with ECC here is now 70-80€, not that much more expensive than non-ECC (about 60€ for 3200, more for faster modules).
I replaced 2 of the 16GB ECC sticks in my main PC with 32GB ones a while ago and put them in my NAS, will probably do the same with the remaining 2 sticks to max out my RAM.
Given that was one of the requirements of the OP (integrated graphics), my point even though technically imprecise, still stands.
I have the same memory sticks. They cost £157.86 each 32Gb stick. That's over 2x the price of non-ECC sticks of otherwise similar specs.
[0] https://www.asus.com/support/faq/1045186