I'm gonna say Yes.
I strongly suspect that while this may not specifically be discussed in the rules of "advertising" the ability to print would take this from an on-line scenario to a "printed advertisement" scenario which would then require you to disclose the additional information at that time. (does your branding print too when they print the PDF?? That would definitely make it a print ad??)
My vote, take away the ability to print... or suffer the reporgamming it takes to get your disclosure to print with your rates and without being a part of the advertisement in the first place.
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In life, there is a lot less that could get better and a lot more that could get worse.
MBA Fin/MBS HR
My views only!