Responsibly you should have your own analyzer, period. Owning your own will do several things, first and foremost give you the ability to analyze your air when and where ever you want/need to. Additionaly there are several configurations on how these work, having your own and knowing how to use it will assist you in adapting to another configuration should the need arise such as when traveling without yours, not sure why you would but if you do.
Most people that do not own their analyzer believe the dive operator is required to provide an analyzer for you which simply isnt true, if one is provided it is from a convienence standpoint. Additionally with the wide range of quality of nitrox courses being delivered by a wide range of instructors experience, many nitrox divers have never been taught how to use any analyzer of any sort, they dont know what they look like or what they really are doing. When you have folks using these analyzers who havent been properly trained in the use of one, things tend to go south pretty quickly, so the reliabilty of the analyzer may or may not be reliable, at least with your own you know the history of the handling and care of the analyzer. As you can imagine by the jist of this thread, analyzers aren't cheap, sensors aren't cheap, otherwise everyone would own one and this thread would exists
. With that in mind if an analyzer at least works at all, the operator is not likely to replace it until it can no longer produce a analysis, how accurate that analysis is strictly based on whether you have something to compare it to, having your own gives you that second reference. You may even be able to help the operator out by knowing when the analyzer isnt up to par and bringing it to their attention.
A quick story of 1 of the 2 analyzers we've eaten at a cost to us, first one, an individual who was certified in nitrox use had came in to get a fill, after the fill the individual picked up the analyzer to check his mix, after seeing folks on the boat put their analyzers up to the tank valve, he proceeded to doing the same, opened his valve and was in dis-belief when I asked him to pay for the analyzer after shooting it into the tank bath.
We are now on our third analyzer we provide for use at our store on bottles we pump nitrox in. By the time the customer gets their cylinders back the gas has already ran through 4 other independent analyzers as part of the fill process. Just for clarification purposes, our fill station uses 4 analyzers (2 O2, 1 He, 1 CM) which are securely positioned and off limits to customer use to provided the ability continue to mix, any of them go down can make a decision on whether or not we can pump gas or not.
On one of our Cozumel trips, we were supposed to be diving 32% on all the dives, luckily enough of us had our own analyzers on board to check our bottles before using and found mixes ranging from air to I think the high was 33.