Welcome to Healing Well! I don't have any personal experience with the LINX, as I had a Nissen surgery, but I have been around this forum for nearly four years, and have seen many threads on the topic. From what I gather, it's normal to have swallowing issues post LINX, as it is post Nissen.
Here's a member's journal of his LINX recovery experience. If you haven't already read it, I think you will find I quite helpful.
Very best wishes for a speedy recovery! I'm glad you joined the forum...there are lots of people who can offer you support and encouragement, and your posts will surely help others who follow.
Nissen Fundoplication 2/09
"Whatever you fight, you strengthen, and what you resist, persists.”
“Worry pretends to be necessary but serves no useful purpose”
“Accept - then act. Whatever the present moment contains, accept it as if you had chosen it. Always work with it, not against it.”