A wider webbed shoe will help the horse
Some indoor conditions can be quite firm some can be soft and also very deep. Consideration needs to be paid as the ground reaction force which can be applied to the hoof / limb may vary greatly, small modifications can be made to help limb alignment and equalise such forces. Surface properties can affect both performance and the risk of injury. One dilemma is that properties that aid “better performance” also increase the load on the horse’s muscular-skeletal system and can increase injury risk.
One example is a surface which is too firm making it easier for the rider to ride fast, and this in itself increases the load on the horse’s limbs. Observations have been made that horse that aren't used to working on a synthetic surface may trip in the beginning until they get used to it.
A wider webbed shoe will help the horse to stay on top of the surface. A rolled toe such as Equi-Librium helps brake over for horses that are new to the surface. Make sure the surface is well maintained, to prevent it from becoming too firm and uneven.
Get more information on the exact composition and how soft or firm it is for the horse so you can adjust the shoe accordingly.