Is there a problem with the current one's sealing?
I'd free the balls, grease well with good grease,put back together sealed.
With good maintenance, not overly onerous, if it's at all decent, there is a fair chance that it will outlive you for the cost of a few balls and some grease.
Then you can relieve yourself of all these mathematical complications and just ride your bike.
Edit - i see you have used the dread word "upgrading".
How do you think this new headset will upgrade the experience of riding your bike?