The only way I'd want the C's to face them early is if one (or more) of the key Cavs suffers an injury and isn't expected back until the ECF. Otherwise, I'd hope for the C's to catch them in the ECF rather than the earlier two rounds. It's a good look for the team, and probably the best chance of upsetting them.
Sure injuries are a 2 way street, Thomas, Horford, Crowder, or Bradley could get injured just as easily as LeBron, Irving, Love, or Thompson. But any of the C's getting injured doesn't really change the likelihood of the Cavs winning, but a Cavs injury on the other hand could really help the C's.
And with the East so wide open after the Cavs, I could see the Cavs looking ahead during the ECF more so than during any other round. Because once you're in the ECF, you pretty much know you're playing Golden State next, but when you're in round 1 or 2 in the East, you really have no clue who you'll be playing in the next round(s) so it might be harder to look ahead and underestimate your current opponent in the earlier rounds.