Characters in Hero Games products almost never impose any limitations on their characteristics. There are two or three that buy extra STR, DEX, CON, etc. through an OIF. People occasionally buy PRE with the limitations Only for Presence Attacks or Only to Defend Against Presence Attacks. But other than that, virtually everyone pays full price for all characteristics.
In terms of game mechanics, this strikes me as very odd. As the saying goes, "You could pay full price, but why?"
Perhaps GMs disallow this because they don't think that limited characteristics are very limited? If so, I beg to differ. In my campaigns, for example, characters (PCs and NPCs alike) often buy combat-related characteristics with Continuing Charges. Instead of having a Speed of 6, you have a Speed of 2, and, say, 4 1-minute charges for +4 Speed. Special effect? Perhaps "Only has four good fights in him."
This turns out to be a limitation with bite. PCs always have to weigh whether a fight is worth one of their Speed charges. When they underestimate, it hurts. And when they overestimate, they don't have their extra Speed when they really need it.
This is just one example. But the broader point, again, is that official Hero characters burn up a ton of points on Characteristics, and its not clear why.