IIRC, there's a tekken game that does it.
Did some digging on this. Apparently TTT2 and Tekken 7 add additional frames of input lag to offline games for 2 reasons: 1) Allow PS3 and 360 versions of TTT2 to match input lag of the slower arcade version of the game; 2) Reduce perceptions of online lag.
Quotes taken from Avoiding the Puddle:
Jiyugaoka_Kaz: "
Good evening Harada-san. I have a question regarding offline mode in the home version. After playing in T6 practice mode, I went into the TTT2 practice mode, and clearly felt some lag. I've heard that there might be intentional lag in the offline mode, but what is the reason for this?"
Harada_Tekken: "
In truth, the home version of T6 was faster than the arcade version. The arcade version had a JV board in the circuit, so the game was delayed X(秘 frames*. In addition, even though the HDMI output is the same as the home version, the Noir Monitors would lag about one frame when it finished rendering to the bottom right. TTT2 is the same as the arcade version"
Quotes taken from Eventhubs/Famitsu:
Famitsu: So how does Tekken 7 solve [online latency] problems?
Harada: For instance when the player hits the punch button or perform other actions, we put in a brief buffer period between the button press and when the punch move or action actually starts happening on-screen, as a measure to reduce the perception of lag.
Subsequently, if there is lag online, what the game can do in theory is to skip over certain frames or parts of the move's animation. In other words, in order to keep the amount of time elapsed -- between when the player hits a button and when the move actually hits -- consistent, the game makes adjustments to the move animations accordingly.
But that's not all. That's just one example. There's a bunch of other game system measures like this we've put in place.
By the way, for Tekken Tag Tournament 2 and Tekken 7 we've actually put in place pretty much the exact same system measures to reduce the perception of lag. So in terms of response times [between when a player hits a button and the move taking place on-screen], nothing has been changed from TTT2 to Tekken 7.
And yet every time we release a new title, there are always people complaining that the new game "has gotten sluggish" compared to the previous release. Unfortunately, they're mistaken. We can even show you the data. If anything, we've actually made improvements in many areas.
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Anyways, don't look at me. I'm not the one thinking this is the best idea.