From a practical standpoint, the use of statues while perhaps more physically realistic, limits their theological use, which is not centered on physical accuracy. Without a diorama, it is hard to portray the multiplicity of events and word of God in statues as they are in icons. The 'halo' (I forgot the proper term) being a representation of the uncreated Light of the Holy Trinity cannot properly be symbolized in 3 dimensions, likewise the Mandorla cannot be portrayed in sculpture. The Theological caricatures of the Saints used in iconography would, IMO, seem either silly or grotesque if applied to a statue.
The theology/devotion of the Icons is typical only of the EO Church and was started only in the Middle-Age.
It is a typical theology that can be very usefull for who understand it, but shall not be considered mandatory for any Christian.
It is the same of the theology/devorion of the Holy Heart of Jesus of some Catholics: nice, but not a mandatory.
Said that, consider that the use of statues (or of paints) of Jesus for the devotion is not very a need, because we shall focus on the Eucharist.
The use of stutues of saints in aisles of the church is, on the contrary, very usefull: not for worship, but to remember us that we are not alone during the Mass:
also the Saints are attending our same Liturgy.
A last idea.
The Empty Cross: we prefer to have Jesus on the Cross (by statue or paint), not an empty cross.
Looking at HIM on the cross, we understant how much He suffered for us, and we can unit our will and our suffering to His will and His suffering.
I dont like empty crosses: Christ died actually for us, not only spiritually.
An Empty Cross is like to escape from such a moment (well, we are in a good company in this escape from the sufference...only Mary and John were present at the feet of the cross)
Christianity is not a way to forget the suffering, but to give value to the suffering.