Depending on the deco algorithm used by your computer, the "one min at half max depth" may cause the computer to accrue more deco (or could clear it completely).
When running my VR3 (VPM-B algorithm) vs my Nitek Duo (Bulhmann) side by side....
I'd be clearing deco on my VR3 during a computer mandated "deep stop" and the Nitek Duo would be adding more deco. I'd get to the 20 foot stop, switch to O2, and the VR3 would clear me several minutes before the Duo did (because the VR3 counted the "deep stop" for decompression whereas the Duo counted it as additional time spent at depth).
I wound up bending the poo out of my poor Duo on one series of dives, and the VR3 was perfectly happy...bamamedic was also happy and unbent.
Yep, those were the two computers in my earlier example. Whenever I dive my VR-3, my Duo is in gauge mode.
To extrapolate on this, on the last trip one of my buddies was on with me, I was diving a recreational computer and he had a tech oriented computer. We incurred some planned deco on a dive and on the ascent, his forced a deep stop that mine totally did not like. As we did the stops his computer called for, his deco obligation was steadily decreasing, mine was increasing rapidly. It was no big deal as we had plenty of gas and out times still ran within the parameters of the plan, but it illustrated how vastly different computers can be. At one point, mine showed 30 minutes of additional deco over his, but most of that cleared as we hit our shallow stops. We finished up the last of the stops, played around in the shallows for a while, then made our exit.
Don't assume that just because you've only incurred a minute or two of deco that something can't hang you up and cause a rapid change in your circumstances.