If you want to make a video scan doubler for your 'logic-analyser', (it's not really a scope as it says 'logic analyser' right on the top left of the device)
If you already have FPGA, it might be easier to build your own logic-analyzer front-end than to interface analog video signal.
I don't think so. Did you see the picture of this guys logic analyzer/digital oscilloscope combo?
It's worth his time and a worthy project.
The TVP7002 does all the video interface work for him, he just needs to set a few I2C commands to set the horizontal resolution and he will be fine.
The FPGA will just double each line coming out of the TVP7002 as 2x speed. Easy enough with a 2:1 PLL setting in the FPGA and 2x 1kx8 dual port ram line buffers.
He only needs 8 bit monochrome. A bottom end 10$ fpga will be overkill. If he has any skill with Altera or Xilinx, and he has no trouble with a little MCU to set the I2C controls of the TVP7002, he can convert his current approximate video res of 512x384 to 512x768. Basically 1024x768, every pixel 2x wide by 2x tall. (Note that the extra pixels around the border of the logic analyzer's specked 500x240 could just be called a black border over-scan...)