Heavy rain at 33 is still going to run off. If you can’t freeze it or absorb it, it’s gonna produce some localized flooding.
Hell, even during the historic ice storm in 2008, the street was like a river running down it on winter hill when I was outside around midnight while trees were starting to snap. It’s because it was coming down so hard that the accretion rate wasn’t super efficient and we were losing a ton of QPF to runoff. We had like 3” of QPF in that storm but it didn’t all accrete as ice…and that was at 30-31F…when it’s 33-34 you aren’t accreting anything.