The PT-145 is a knock-off of the Kel-Tec P-11 and P-40, with an extra caliber thrown in.
Like the Kel-Tec, its not a bad gun -- although it is much harder to strip and clean than the Kel-Tec.
I found my Kel-Tec to be very accurate and reliable, as long as I was punching paper targets. But when I tried using it in IDPA competition I found my scores dropped dramatically from what I had come to expect. The long, heavy double-action trigger is a real obstacle to overcome if you must shoot fast and accurately.
Felt recoil with the P-11 was ok, but the P-40 was getting uncomfortable. And I would imagine that most shooters would find the PT-145 to be very unpleasant.
The P-97, on the other hand, is well made, accurate, durable, easy to care for, and a proven performer. It may be one of the most accurate .45 available, out of the box. (Believe it or not, its a close match for the SIG P-220 in that regard.)
If the original post found the P-97's recoil hard to handle, I would expect him to find the PT-145 to be nearly intolerable -- if only because of its much lighter weight.
You need to try one before you buy.