Thought experiment

Suppose I am looking through Hubble's eyes,
at visible wavelenths.

As I see farther and farther away, when the
redshift of the objects I see increases,
I am not seeing the visible light emission of
the object but its UV emission, shifted to
visible wavelengths by the redshift.

Since the UV photo of a galaxy looks quite weird,
the beautiful arms disappearing in bizarre
structures, the shape of the galaxies should be
quite different from normal spirals as we look
farther and farther away.

Has anyone looked at this?

References welcome.

Thanks in advance for your attention.

jacob