So true. I've noticed that a lot of people's favorite cartoons, as well as their opinions, are due to some nostalgic feelings. While I don't see a problem at all with looking fondly back in the past and all for entertainment, I usually try to separate nostalgia and actual quality in my opinions. For a quick example, I may be one of the few people on this form who does not think that the first two seasons of Pokemon were the best. Not horrible by any means, but not what I considered the best of the series either. Of course, there are some people who do not feel that way because of nostalgia, but that was the best example I could think of at the moment.
As for the example about the Spectacular Spider-Man series, Peter obviously couldn't tell them about his double life. It's like one of those superhero codes where they can't tell their family and friends about their secret life. That can depend on the situation, but it had to be for this case. They might have been a bit nicer to him if he told them about needing the money to help pay bills, but it might not have made a difference. Besides that, there would have to be major differences in this series and the 90s Spider-Man not only in the character designs, but of how the stories are told. It would be pretty pointless to have the stories function and end in the same exact way. That's usually what they do with a new series based on an established character/franchise.