A related question: do you consider diving dry to be an essential part of tech diving?
To me, wanting to get into tech without learning to dive dry is like saying you want to become a racecar driver but you don't want to get glasses to correct your vision problems.
I don't consider dry to be an essential part of technical diving but they can certainly be synonymous. I would 100% agree that certain exposure times in certain water temperatures require a drysuit. It's just another piece of equipment.
For me it's simply the exposure protection required for the water temperature. I used to teach people in basic open water classes in New England in a drysuits, a far cry from any sort of technical diving.
Regarding the drysuit question in Mexico. It largely depends on the person, in my opinion. I do plenty of "tech diving" without a drysuit.
All of my "local" dives in Great Lakes / New England are done using a drysuit and dry gloves. I would never not dive a drysuit there; I would be hypothermic very quickly. Even all of my Florida cave dives in 68-72f (20-22c) water require a drysuit. I tried diving wet a couple times and I came out of the water shivering and miserable.
For whatever reason (bioprene / cold tolerance?) I'm able to tolerate Mexico water temps 78-80f (~25-27c) much better in a full 7mm wetsuit. 3-4 hour dives are no problem for me in a 7mm wetsuit. Actually a few of my dives were in the 6 hour range last week and I was in a 7mm. Granted the caves in Cozumel are a bit warmer than the mainland.
Someone actually once told me I must not be a "real" cave diver because I was diving in a wetsuit. I guess all my cave dives are fake.
My wife on the other hand dives dry down here. She is fine for 2 hours dives in a wetsuit but beyond that she has to be in a drysuit or she is completely miserable. She has a a brand new 7mm Waterproof wetsuit. It didnt make any difference for her. She basically dives dry 100% in the caves down here.
My advice for the original poster
@Motojack is stick with a wetsuit until you find your dive times or comfort level requiring a drysuit. During classes, there can be a lot of standing around and debriefing in the water this certainly doesnt help you stay warm.
Honestly, you might even want to consider a full 7mm as opposed to a 5mm. Wetsuits get compressed relatively quickly. If you want to buy a drysuit it's definitely not a bad idea and nobody is going to fault you for wanting one.