"current rate of growth"
A interesting turn of phrase, especially when used alongside "projections"
What's the current infection figure . . 50,000 ish daily?
Let's go with 2% of those being hospitalised . . that's 1000 daily into hospital, of which probably 2% (20 people) may need an ICU bed.
Now if we move that figure along by 30 days, we have 600 people in an ICU bed, 60 days gives us 1200 people, and 90 days gives us 1800 Covid patients requiring an ICU bed . . . which is less than 1 patient per UK hospital.
Yes yes, I know that's not how it works . . . but it's how statistics work