That is true if you’re willing to push out at some point. If you’re in “keep cap health” mode and you intend to always stay there, you absolutely do not have more to spend. The very nature of that is to take hits earlier than late. That offsets the dead money of always pushing forward.
Whether you always keep a healthy cap or always max it out, I have no doubt you are wrong that you end up having less to pay for talent.
However, the moment you switch strategies, for a couple years you will have more or less.