I love to stick n move as well .. but i think you might be over reacting about this. you can still stick and move as much as you want but the stamina does go down regardless. the object of the game is to out box. staying on your heels will only get the job done if you have to made an attempt at attacking sometime. none of the boxers in FNC represent a running technique... arguably Sugar Ray and Oscar but most of those guys are fighters who squared up and some were very elusive while they were in front of you.
the thing im learning is the guys i fight online are heavily using the modified punches early. Modified punches is one of the reasons opponents steal rounds from you so you have to be aware of this and act accordingly. sticking n moving would work proper but not til later rounds ..as it should.. so yeah there is some adjusting we have to do...