I'm hardly a professional rigger, but I've observed lee shrouds loose on
many boats w/o adverse consequences. I think if you have the rig so taut
as the lee shrouds are tight AND you have deformed the hull to point
that you can't open a sole hatch, you have things a bit too tense.

Do you have a rigging text aboard? Maybe others with more experience on
your specific rig can chime in here.