You can try and visualize, without actually keeping the variation for quick reference in your software. Depends on how you use it.
In your method, keeping all that data might help fine-tune your evaluation and calculation skills instead of your visualization ones, especially when going over it in post game analysis, to see if your evaluations were accurate for the variations you calculated.
I just started playing turn based chess - well again - and I couldn't help thinking that with all the new software available - Chessbase in particular does turn based chess stop visualization growth. With chess base i can work on a variation -- even work on several splits inside a variation, write a quick note about the position, something as simple as += may do -- and then explore a different line.
I do not need to memorize what the board looked like where I was examining multiple candidate moves because I just go back to that position. AND everything is visual.
Seems to me that this can not be a good scenario for visualization improvement - although at 50 years old its probably not a big concern for me, but for younger players who are just starting out and have potential, I think this could be a hindrance.
Any thoughts?
TCA