The T444E was discontinued halfway through 2003. Because of the way bus builders work with chassis manufacturers, it is common to buy a bus that is one year newer than its chassis. It is very possible to find a 2004 bus with a pre-EGR motor, because the motor was made along with the chassis in 2003. There are no EGR equipped T444E, they replaced it rather than bring it upto 2004 emissions requirements.
o1marc,whoever is telling you "after 2005" is someone you should consider not listening to any more. The emissions requirements that brought in EGR went into place in model year 2004. EGR failure cases didn't wait 2 years to become a thing.
https://www.dieselnet.com/standards/us/hd.php#y2004
jjhwick, any t444e bus is going to be pre-emissions regardless of the year on the plaque. Also, the advice is no newer than 2003 with the noted exceptions.