Nope...I wouldn't think that at all, in fact, the problem in my lowly opinion was that most were NOT familiar with Chainmail (and in fact I haven't played it to this day, so no idea how those rules really worked. They are referenced in the booklets I have of the original D&D, but how it worked is yet a mystery to me in regards to the chainmail rules). That's why the D20 alternate gained favor and popularity in my opinion, and why almost immediately many of the ideas that went into GreyHawk were abounding.
Of course that's my opinion...I could always be wrong, but with how it became more solidified over time with the alternate system becoming the primary system...I'd say chainmail was actually not familiar to most who picked up the D&D rules.
I think chainmail gained more popularity from the D&D rules and more tried to get it...but originally I think D&D in many ways was more of a promotion of the Chainmail rules and pushing those than anything those picking up the booklets were familiar with.
After D&D came out, I think many more people became familiar with chainmail, but not enough to over ride the alternate system becoming the more popular one to game with.
We were all miniature wargamers in the groups I knew back in the day. Chainmail was our "gateway drug" :) TSR even advertised D&D as a "fantasy miniature wargame" as I recall. And Chainmail was their big seller. It took TSR quite a while to sell through their first printing of D&D. Up until D&D all TSR made was miniature wargame rules. Before TSR Chainmail was published by Guidon. D&D appealed to other people too of course. And subsequest printings sold rapidly. I'd guess local experiences with this will be varied and anecdotal.
*edit* I just grabbed a whitebox copy off my shelf and it's subtitled as "Rules for Fantastic Medieval Wargames Campaigns Playable with Paper and Pencil and Miniature Figures". Our old woodgrain box label said the same thing iirc. It's squirreled away at my brothers.