I doubt it is going to make much if any difference in speed.  I have a Ryzen 9 5950X with 64 GB Ram and a GTX 1070 8GB for Video display and a RTX4060TI 8GB used for rendering.  Normally I just do test renders @ 1920x1080 using the 4060 and can get a decent looking image in about 5 seconds using Poser 14.  And when I do a 210 frame animation at the same settings it works out to about 3 seconds a frame that counts the time to save to disk.  The bigger speed facto is going to be have many Polygons your models have.  I just did a test with a Poser Sphere normally 2048 Polygons and that is quick.  However, the test I was doing was on displacement so I cranked the SubD level from 0 to 7.   That took the 2048 Polygon sphere up to 33,554,432 Polygons.  The longest time was waiting for the program to send all those Polys to the card.  Once there it zipped through in ~ 7seconds.  And all my programs and content are located on the slow HDD's.  So, I am not sure how much faster being on a SSD is going to be, but I doubt much.

Poser 5, 6, 7, 8, Poser Pro 9 (2012), 10 (2014), 11, 12, 13, 14