Modern editions usually use modernized spellings. There are no breathing marks in the oldest manuscripts; they are a classical innovation (circa 400 BC) several centuries after Homer was first written down (600 BC or earlier). Though most of Homer as we receive it today is through medieval manuscript copies, and copyists often "corrected" the spellings just like we do today.
It's called Scaife[1] and it's borderline unusable. Slows to an absolute crawl on my ~2020 machine within a few minutes, and the viewing experience is very uncomfortable. I'd be really surprised if people preferred it to Perseus.
What should actually be done, and what OP should do, is take the Perseus website and make it so it doesn't 503 all the time (it is incredibly unreliable).
Then, FOIA the State of California for the pay-to-play data which the UC Irvine-based TLG hoarders are withholding from the public (it is a publicly funded project...) so that the corpus can be meaningfully extended and built upon.
The 1990's tier html vibe of Perseus is to its great advantage.