The Breeze was definitely offered as a 2.0 SOHC automatic. It was quite a dog and they gave into pressure and offered the 2.4 in the Breeze after a year or two.
Also, if you look on the EPA website for the 1996 Dodge Stratus, the following combos are listed (which given certification costs involved were very likely sold):
2.0 5 speed manual
2.0 4 speed automatic
2.4 4 speed automatic
2.5 4 speed automatic
At that time, the 2.0 with 4 speed auto was unique to the cloud cars as Neon would continue with the 3 speed auto for a few more years.
Rumours existed that the 2.4 was offered with a 5 speed, at least for export but that seems never to have happened.
When the Breeze was introduced, the demand for the 2.0 SOHC engine exceeded capacity and many Neons got a free upgrade to the 2.0 DOHC motor.