As someone who has done "no present" parties... We ABSOLUTELY bring (and love bringing) gifts to other's parties.
Our "no present" parties are a practical, not moral, judgement. Kiddo gets *at least* 20 gifts for every Bday just from family. So if we're inviting more than 4-5 kids, WE DON'T WANT ANYMORE!!! We already space out his bday presents so it's not an embarrassment of riches. Even if we're having a small party, one year I knew all his *close* friends' parents, like us, were struggling. So we had a "favorite book" exchange. We make it very, very, clear in the invite that there will be at least 30 kids at the party, and that he already receives gifts from family... so we are not saying "no gifts" to be polite, or spartan, but because we really really just want the ring of laughter, and the joy of their presence, and siblings are welcome since it's going to be a wild romp... the more the merrier.
Last year, and this year, have been "normal" (as in I didn't mention gifts), because kiddo chose to have small parties.
But seriously, we've had a party at a pool with over 30 kids, and at a bounce gym with over 50. There is No. Way. On. Earth. we want presents under such circumstances. The "present" we/he gets is the absolute joy kiddo gets from being around so many people (unlike myself, he's a social butterfly, and a GREAT host). He started debating 9 months BEFORE his birthday this year as to whether or not to have a "big" party or a "small" party, and didn't decide until his deadline of 1 month ahead of time, and chose small. <grinning> MOSTLY, because he wants to open presents. But caveated it with a "Next year, at the beach, bonfire, & fireworks, and everyone I've ever met... since it will be outdoors. Or the bounce house with however many they allow. Or my gymnastics place with 36, you can have up to 36. I checked."
Again, we LOVE giving gifts. It's just that GETTING them isn't always practical.
PS... I persoanally think that the advent of the "no gift" trend is in part due to the "large party" trend PLUS the "if you're going to send out invitations in class, there has to be one for everybody" policies that are in most elementary school. When I was growing up, all bdays were held at homes. Which naturally limited size, unless you were wealthy or lived in an apartment with a cabana. Also, you only invited close friends (not your whole class). "Party Places" are also a new "thing"... and many are dirt cheap. The bouncy place $ for parties is through the roof ($300) in our area UNLESS you're on their mailing list, and then it's $70. OMG... NOT have to CLEAN MY HOUSE??? So, so, so worth $70.