I have the SNES version of Ms. Pac Man. It has many obvious graphical differences and optional changes compared to the arcade version, but I'm not sure if the gameplay is the same when you select the most arcade-like options. For example, the original and very well documented Pac Man (not necessarily Ms. Pac Man) has "rounded corner" turns for the main character, but this doesn't seem to happen in the SNES version of Ms. Pac Man.
From the Ms. Pac-Man Wiki page:
The ghosts' behavior patterns are different and include semi-random movement, precluding the use of patterns to beat each level.
The page also mentions a few other changes to game mechanics, such as the fruit that now moves and multiple mazes, although there is nothing to suggest that the player control was changed.
From the same page:
The Mega Drive/Genesis, Master System, and NES versions, by Tengen, and the Super NES version, by Williams Electronics, took a few liberties.
Based on this information you should not expect Ms. Pac-Man to behave the same as the classic arcade Pac-Man.