Yes, addressing your tight triceps could impact your shoulder.
Your shoulder position can be compromised from tightness downstream at the elbow.
Have you smashed your triceps?
Tricep smash 2 videos here is one
August 24 Daily Rx
Episode 331: Compare Sides and Make Sure You See The Change
Episode 44: Global Dehydration and Stiffness, Pecs, Tri’s and Internal Rotation
Episode 41: Improving Shoulder Organization & 3 min Challenge