The OP's post is EXACTLY why I stay in-town (the Casa Mexicana is my preferred place) and dive with a smaller boutique dive op (3P's). I just wrote a review of our 5th X-mas dive trip staying at the Casa and diving with 3P's on Tripadvisor.
Tres Pelicanos Dive Center (Cozumel) - 2019 All You Need to Know BEFORE You Go (with Photos) - TripAdvisor
As far as reporting high blood pressure... Well, if one is taking his/her meds then they don't have high blood pressure so it is NOT a medical condition of concern when it is being treated. My Dr. (who has many patients who are divers in VA Beach) told me high blood pressure WHEN TREATED and reduced to lower levels and monitored has absolutely no impact on my ability to dive. He told me to take my meds and do whatever I want because when I take my meds I don't have high blood pressure that should be a reason for concern. He ENCOURAGES any form of exercise be it diving, walking, running, working out, whatever and said the more of that I do the better.
Heck, probably 1/3 of the population has high blood pressure but most don't know it and most goes untreated because most don't have annual physicals (even if their health insurance will pay for some or all of their annual physical). I was in that camp... Hadn't had a physical for years as I don't like seeing doctors for fear of what they may find and getting into "the system". Well, when I finally went after many years my formerly regular BP had certainly changed for the worse. Now I treat it, take 2 dirt cheap pills a day that are now free under my insurance, check my BP from time to time with a wrist monitor and don't worry about it because there is nothing to worry about.
At this point, I don't know when my BP went higher over the years but when it did I should have been treating it 1 year, 3 years, or 5 years ago as high BP can cause damage to lots of things which is why it is known as the "Silent Killer". My Dr. said I can't fight genetics... My parents and my grandparents were on BP meds for decades and it is just my time to start on them. He prescribed me 1 and then 2 of the 3 BP meds HE is currently taking so I figure if they are good enough for him they are certainly good enough for me.