The bottom line it's really hard to determine the actual status of the cap without the actual contract numbers. Guley was a release not trade so his dead cap would be a bit complicated. Technically, there would be a $20M dead cap acceleration this year with another dead cap of $8M next year. But I have to assume there was offset language in his contract which is why they released him instead of carried him. Assuming a $2.5M offset that would mean a dead cap of around $15M. Post June 1 designated and the dead cap will be about $7.5M for two years.
Looking at just the Cooks trade there is another massive dead cap amount of over $21M. But post June 1 that will be about $10.5M for two years. So it would seem to explain why Floyd is signed but not carried on the payroll because it's probably a contract dated after June 1. After all of the June 1 manipulations are said and done, the Rams should be back in the black cap wise. Not a lot of room but not in the red IMO. If they can pull off the Havenstein and Hill trade they will end up with about the same amount of free cap as they had last year, i.e. $4-$6M.
That is why the NFL cap is a soft ceiling, not a hard one. I'm no capologist but from what I know it simply seems a lot of excitement over not much impact.