Yes, one end of the input shaft is well supported by probably a regular single row ball bearing. But, one regular single row ball bearing does not a well supported shaft make. It takes at least two bearings to support a shaft. Inside the transmission, only one bearing supports the shaft (ignoring the needle bearing inside the end of the input shaft- that provides end support and alignment for the transmission main shaft, ironically from a well supported input shaft) . So, this type of input shaft is NOT well supported inside the transmission. It needs to have a well located (aligned) pilot bearing, bushing, or machined hole to support the other end of the shaft.
Some transmissions have a well supported input shafts by two or more bearings inside the transmission. Some of these still use pilot bearings, others do not.