My video export has a blue line though it saying " analyzing in background"

Warp is the heaviest effect in Premiere Pro. It's even more demanding of computer resources than Neat Video Noise Remover. From years of practical experiencs, I would never export a sequence with a clip needing analyzing. Or even with Warp applied to it.

On a 24 core 128GB of RAM desktop.

I always apply Warp, then when the stabilization is acceptable, I immediately do a render & replace operation to a new clip, probably ProRes422. I can "restore unrendered" if I need to redo the clip later.

But now I can apply Lumetri or anything, and it will play back fine, and will export in reasonable times without a glitch.

Simply practical.

You do not need to render before export but you do need to check if all warp stabilizer have finished properly before exporting.