I'm 34 and I feel similarly.
A paper invite indicates so much...
The theme of an event, the level of formality, the importance, the hosts and the honored, and even the importance of the guest to the event.
It costs money to produce a beautiful paper invite and the sentiment implied is that the guest is one fitting of taking receipt of that invitation.
There is a exclusivity that is given with a paper invite - not everyone gets one and the host is making sure the guest knows that they are important to them.
The time it takes to produce and address an invitation leads the guest to believe that they were thought about, on a personal level, and that their attendance is important to the host.
The "email wedding invite" has been all the rage at my DH's work the last couple of years. I hate feeling like an after-thought... like I'm important enough to ask to the wedding (and thus give a wedding gift), but not important enough for them to spend $2-5 to send me a proper invitation asking me personally to attend. Instead I'm just one-of-many in their e-mail contact list. I've never attended a wedding where I've received an email and I've never been told that they missed me or even wanted me there. In fact, the bride of one of these weddings, when introduced to me the first time a year after the wedding, had no idea who I was or who my husband was... even though we got the "invite" to the wedding.
As for facebook invites... I get invited to a TON of parties... even for friends that are out of state. Simply because they hit the button that invites everyone in their contact list. There is no level of pesonal interaction or thought of me as a guest, just a "invite all" kind of mentality. For informal get togethers, parties, holiday get togethers, buying-things kind of parties it's fine.
But if you are having a 25th anniversary party, a wedding, a shower, etc... a paper invite says so much more to me!
See, and in my circle of friends, THIS is why we find paper invitations to seem so snobbish and out-of-touch.
The theme of an event - what?? If I am inviting you electronically, and the event has a "theme" I can tell you about it! I can use cool web-backgrounds or email stationaries. And best of all I haven't contributed to the over-usage and waste of paper products that our society is rife with.
The level of formality - sorry , but I can say "potluck - BYOB" or "formal dress only, please" electronically JUST as easily in an email or Evite.
Importance - ??? I am inviting you, your presence is important to me. If it weren't, I wouldn't invite you!

I don't invite people just for the heck of it.
The hosts and the honored - again, just as easily conveyed electronically, doesn't lose anything in translation.
"It costs money to produce a beautiful paper invite and the sentiment implied is that the guest is one fitting of taking receipt of that invitation." - Sorry, I don't see it that way. Yes it does cost money to produce the invitation. Money that I would much rather spend making the event itself fun and memorable. To me, the "sentiment implied" by a flashy, over-the top, curlicues-and-sparkles invitation is "look how much more upper-crust I am than you".
This is just how I, and my personal circle of friends feel about things, and why for all of us, electronic communication is the expected, and the norm. Others disagree and that's OK.
Then again, we think nothing of baby showers for 3rd babies, or registering for honeymoon money for weddings.
