Can the below problem I stated be true please help. Thnx

No. You may get a bad smell or a resistance in the cool air that comes out of the vents, but not changing the cabin air purifier will not make the A/C just up and stop working. There are various other things that could cause the A/C to turn on and off though such as the clutch assembly on the compressor if it is starting to fail, A/C pressure switch intermittent failure or even having a low freon charge in the system.

Just a note, next time you go for an oil change ask the technician to check the pressure of your a/c system. I know that all Valvoline Instant Oil Change service centers in my area do it free of charge, even if you're not having any other services performed. The technician will let you know if the system pressure is correct, and if it isn't will let you know what the most likely cause of the problem is. The Service Center Manager at the location I frequent is very knowledgeable about a broad range of automotive systems. When my a/c quit working like it should he told me I had a leak and was honest about not being able to recharge the system, even though he could have done it and made his money anyway. Just seems to me that he always tries to help instead of just trying to get into my wallet. Sorry for the long response, just wanted to let you know of an option to diagnose for free where you would get a candid answer about a solution. I should send this to Valvoline and ask to be put on the payroll.... Haha