John Vincent (the father) was primarily a cabinet maker and a farmer. Born in 1809 he was 38 before he took up gunsmithing (so 1847'ish).
John Caleb (the son) was born in 1841. He served in the Ohio Militia during the war so may or may not have spent a lot of time in the shop building during the war years.
Between 1848 and 1853 records show that John produced 38 rifles and 1 pistol.
Then between 1853 and 1863 (they) produced 88 rifles.
In 1863 Caleb finished his Militia service and set up his own shop. It is speculated that he was more interested in gunsmithing than farming which was his fathers primary "occupation" and there may have been a "falling out" between the two of them.
From 1865 until John's death in 1882 there is no record that he produced a rifle, only repairs are listed in the shop journal (but he may have kept a separate building journal that has since been lost).
If Caleb kept records on rifle production while he was on his own, it's never surfaced, but all "Caleb" Vincent rifles would have been post 1863 making a flint even more "uncommon/unlikely".
So, with the history lesson over, because of the time frame when John started building, and when Caleb was born - both well into the percussion era, production of flintlocks by either would probably be somewhat rare.
The flint model, built by John Vincent and pictured above is the only one I have seen (in an early picture taken by Shumway).
So, personally, if I was going to build a flint Vincent, it would certainly be by his father and would take the architecture from one his earliest known surviving rifles.