In theory, the colour temperature of your light source shouldn’t matter if you do a white balance. Unfortunately, there’s so many variables when it comes to processing video, it can be very difficult to nail down any one specific cause when things start to ‘go funny’. Maybe it’s something else in your system… starting at the back end, what are you using for a monitor? Have you used colour bars to set your hue and chroma? Do you have ‘Blue only’ set-up capability? Does the red hue show when you play back on another monitor? Is the red hue there when you play back the original tape before digitizing?
Personally, I don’t capture photos using a video camera unless I absolutely have to. I use a flat-bed scanner and do the camera moves in After Effects… this may be a somewhat longer process but I feel it offers much more flexibility.
Gary