even with the stamina bar removed, there is still a universal cool-down on every ability, including basic attacks. This is the action use time. some actions may have a recast time of 0:00, but that does not mean they could be spammed.
And what's the problem with current pace with the stamina gauge? To keep the same pace, the action use time needs to be made longer to achieve the same results as with stamina bar, except the stamina bar is a much clearer indication of the global cooldown and getting "you can not use this action at this time" spam would be annoying.