it would appear to me, on a v quick look at the trends over lunch, that hospitalisation on a 10-day lag of cases has fallen to between 2.5 and 3% for the last fortnight, and has very gradually decreased over time.
Up to yesterday's cases then, we can expect hospitalisation figured to reach between 1100 and 1400 a day by August 2nd (ish).
given the steady the hospitalisation rate, albeit with a very slight downward trend, it would be surprising if this figure was not met, and if cases continue to rise then so does that admission number. Cases of ~100k will result in ~2,500 admissions, unless dramatic population level changes occur between now and IF 100k occurs.
Also evident is that net hospital cases (people in hospital with covid) do rise slower, because obviously people are discharged, than previous waves. It is day-of-week dependent, but when looking at admissions and the net cases in early mid-June, the net change in hospital cases was about 15% of the previous day's admissions, hinting that many folks were being discharged at the same time (not the same people!), for whatever reasons, i.e. net growth was much lower than admission rate. That has now changed slightly, lately net growth is about 25% of previous day's cases. My interpretation of this steady climb means more people admitted are being retained for slightly longer, or that some equilibrium has been passed?.
Deaths are a complicated picture, with the lag very hard to determine. using a standard 21 day lag, deaths appear to be between 0.25% and 0.3% of cases reported 21 days earlier (tracking VERY roughly hospitalisation rate / 10 to 12). Should this rate continue, we can expect early August daily deaths to be ~80 to 140, and the deaths from yesterday's figures to be ~90-160. I.e. the CFR is apparently ~0.25%.
(this all might continue to slowly decrease, but nothing dramatic will happen. The major remaining hope is that cases stall, steady and decline as of now, but i doubt it. We'll see).