If you were to enter a region of localized time dilation caused by a strong gravitational field, it would not give off the illusion of you moving at super speed from your own perspective. Time dilation affects the rate at which time passes, but it does not directly affect your own perception of motion or speed.
From your point of view, you would experience time passing at a different rate compared to someone outside the gravitational field. If you were to compare clocks, the clock within the region of time dilation would appear to be running slower than a clock outside the field.
However, your own perception of motion would remain consistent. You would not feel as though you are moving at an accelerated or super speed within the time-dilated region. Your physical movements and subjective experience of time passing would continue as usual.
It's important to note that the effects of time dilation due to gravity are relative. They are experienced by observers in different gravitational fields or different relative velocities. So, if you were to interact with someone outside the gravitational field, they might perceive you as moving in slow motion relative to their own experience of time.
In summary, entering a region of localized time dilation caused by a strong gravitational field would not create the illusion of you moving at super speed. Time dilation affects the rate at which time passes but does not directly alter your own perception of motion or speed.