Nut flush c/raised on river, value in shoving?

[Somnius]

Board: 5s Kd Jc 4d Jd
Dead:

equity win tie pots won pots tied
Hand 0: 58.621% 58.62% 00.00% 17 0.00 { AdQd }
Hand 1: 41.379% 41.38% 00.00% 12 0.00 { 55-44, AJs, KJs, QJs, Td8d, 9d8d, 8d7d, 7d6d, 6d5d, AJo, KJo, QJo }

He could also have J9s, JTs, but he might actually fold those to a push.

This is based on a general loose passive low limit player...who really doesn't want to fold trips on the river...but, if you think he would fold most trips except for the AJ...

Board: 5s Kd Jc 4d Jd
Dead:

equity win tie pots won pots tied
Hand 0: 47.826% 47.83% 00.00% 11 0.00 { AdQd }
Hand 1: 52.174% 52.17% 00.00% 12 0.00 { 55-44, AJs, KJs, Td8d, 9d8d, 8d7d, 7d6d, 6d5d, AJo, KJo }

...I'd still push...