that is a radical position and probably isn't suitable for a fixed criterium. Unless it is very short distance race. Can you set that bike up for a comfortable position? The Red Hook races I see, nobody is in that position, they are in a normal road racing position.

The interesting thing about the bike you have shown is that the seat tube does not seem to be particularly steep. There is a minimum hip angle that leads to effective pedaling. Generally, a bike with a low front end like that will have a steep seat angle to keep the hip angle above that minimum. It occurs to me that nobody is going to ride that bike in the drops, so maybe the position isn't as low as it looks.

eta: I just went and watched some videos of pursuiters to get an idea about their position. I suggest you do the same. They all have time trial bars, which are usually not allowed in crits for very good reasons. They would have bullhorns at about the same height as the top tube on the bike you have shown. Then aero bars in the center. Putting drops on a pursuit frame is going to end up with unusable drops, that's not what the builder intended. You want a bike with drops at about the same height as that top tube, so a more normal geometry is called for. A pursuit frame would put you at a distinct disadvantage in a mass start race.