I think the sealink coaches on the L&HR wore a different style of sealink livery more in keeping with the buses operated by Lancaster City Transport on sevices to link with the Isle of Man ferries at Heysham, even having the red roof.
https://www.flickr.com/photos/ewood_eddie1968/4385790628/in/gallery-faversham-gallery-72157626498466715/
The only pictures I can find on Flickr seems to confirm this, albeit not very clear.
https://www.flickr.com/photos/wolfie59/8578886800/
https://www.flickr.com/photos/89542201@N03/8154404014/
Phil