I was actually looking around 9am in the morning ET (I'm in an earlier time zone and I refuse to do middle-of-the-night bookings any more), but I guess I should have qualified my post to explain--I was really only looking at those restaurants in the second half of a 7-day window, which is why they were easier. OP said they had 7-days too so I figured that was relevant. Did not look at all for those restaurants the first few days after 60, but I think it's safe to say it'd be harder then. Looking exactly 60 days from now, HBD is the only one of those with dinner availability, which is what I'd expect. Both Le Cellier and HBD have lunch availability 60 days from now though.
I always recommend putting the harder restaurants at the end of the trip to maximize the 60+length-of-stay advantage whenever possible. This will be our fourth trip post-covid, and each time, it seems like you really have to have to look at at least 60+3 to get good times for the in-demand restaurants. The one time we did a split stay was awful for dining. Trying to book at 60 days exactly is pretty much a complete wash--we just ate quick service for our arrival day each time.
For those who say there is no on-site advantage any more, I wonder, have they tried booking dining lately?