Fair, bombarding them is probably the wrong move. Still, there's a difference between seeking it out on your own and responding to an advertisement for it. There's a reason the whole "You didn't know it's a thing you could want" market of neat gimmicks works, and it's not because someone went to google "Is there a banana lunchbox with integrated peeler?"

Some people might respond to a prompt of signing up for a newsletter that otherwise wouldn't have, so it makes sense (from a marketing perspective) to offer that prompt. It just shouldn't be so intrusive and overeager.