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Let me first of all say that this is a topic that we may never agree on because it really depends on how open minded we can both be.
As you said you are an offset printer, and I have been involved with flexography all of my working life, and similar to your not having experience with flexo I have to admit to not having spent much time delving into the offset process.
In fact I have spent most of my career defending and lobbying for flexo in the same way as you have for offset.
So now we know where the lines are drawn, let me first try to define the two processes and then begin to make some comparisons before finally trying to answer your question.
Offset uses a surface thin plate that has a surface treatment that attracts ink and water to different areas that are then transferred to a blanket which in turn transfers the imaged areas to the substrate.
Flexo on the other hand uses a rubber or photopolymer raised area that is inked up by an anilox roll before transferring the image to the substrate.
Now I mentioned the word ink, and again this is where the two processes differ dramatically. With offset you have thick oil based slow flowing ink that has to be transferred between a chain of rollers to make it thin enough to transfer to the treated plate surface. With flexo you have a choice of water, solvent and UV liquid inks that flow and dry rapidly.
Now to try to answer your question perhaps I should respond to each of the points that your buyers were saying about flexo firstly being simpler.
As much of an advocate as I am for flexography I have to admit that achieving good, consistent print quality with flexo is anything but simple.
Compared with offset the skilled flexographer has a lot of choices to make such as which ink system, what type of plate, thickness and hardness of plate, what mounting tape to use, to name but a few of the many options that have to be made. So simpler, I would have to disagree with but would have to say that today many flexographic printers follow strict industry guidelines that help make the process very repeatable and consistent.
Again with the second statement of flexo being cheaper I do not believe that this is the right word to use, competitive, good value for your money. Like most buyers that don’t know flexo they equate the first statement of simpler to meaning cheaper when in fact I have already proven that the many options that have to be considered in flexo compared to offset make it anything but simpler, but consistent and highly efficient techniques, processes and equipment in flexography today do make it very competitive.
Now to the quality term and on this point I have to agree there are many areas that flexographic print quality does compare favorably with offset and on some substrates I would have to say does an even better job. The truth is flexo can print on the widest range of substrates of any print process which is one of the major reasons for its popularity in the first place.
So who was right?  Simpler, cheaper, a match for offset quality, it all depends on how much you really understand about each print process, so now that you know a little bit more perhaps you will be able to make your own decision., But if you want more information to make a more educated decision write back to me with more questions or comments and we can continue the debate.