I've never aligned a Lyra Cartridge, but am very well aware that the Titan i is a very highly revered and respected Cartridge. Never used a DB Protractor either to comment as to its accuracy or give much help with either.
At this level of performance I'd probably choose an Arc Type, such as the MintLP Best Tractor. That's the one I've bought most recently. In any case, yeah, seeing is most the battle.
Yes, definitely align the Cantilever if you can.
The MintLP Arc Tractor has ultra fine hair like lines, and null grids.(2)
What I've used is a lighted Magnifying Glass, and a couple of Jeweler's Loupes to help aid seeing better.
I even set up my Littlite Gooseneck Lamp alongside the Table.
You'll hopefully have a well lit and comfortable area in which to work. Bending over at a rack and working on alignment can be painful, tiring, and very trying. Best to be comfortably sitting for such.
I've found exacting alignment is no 15 minute task. I think spent 1 hour and 45 minutes aligning my ZYX Airy 3X Cartridge. I took a few breaks 5 minutes here and there to regain composure, a sip from a beverage, and no, no alcohol! LOL Yeah, some of that time was sweat filled. And it's something where you want to be in a good mood to do.