This may come off wrong but- maybe take your kids hunting more?
My parents don't have a ton of mounts, maybe 9 or 10. All Euro. When they pass, I'll be putting them in my shop. I was there for at least 7 of them, and the memory means just as much to me as it does my mom or dad who pulled the trigger. especially the ones like my dads once in a lifetime oryx hunt, my moms first archery deer, my moms rifle bull tag that took her 10 years to draw... I was small when most of those happened, but I still remember them and cherish the lessons I learned from those hunts.
I've been lucky enough that my daughter was with me and my wife for a couple javelina hunts and deer tags, and when someone shows interest in those skulls, she is STOKED to tell them the story. I've killed plenty of javelinas, and have only a couple heads to show, but the ones I cleaned up- share a particular memory.
It almost came off wrong.... but I hear what you're getting at.
I'll take your point and own it. Early on, I spent a lot of time hunting without my kids. Public land elk hunting in SW Montana isn't exactly conducive to taking kids along, but that's still just an excuse. Most of my elk were killed alone, and those aren't the best memories. The best hunts are the ones that are shared, no matter how big the animal. I can't look at the only bull I've ever taken with my bow and say to anyone, "remember that one?!" It was a fantastic experience, but still hollow because it wasn't shared with anyone.
My oldest daughter has the biggest whitetail in the house, and my second daughter shot her first bull this year. It was amazing. I'd much rather keep her 5 point bull and toss the bulls I've killed solo. If we only had space for one, there'd be no question.
I like having four kids, but it's tough to take them all on their own hunts. Next year, all four of them will be able to carry a gun. That sounds a little chaotic, but they'll each get their turn.
It's taken me time to come to these realizations, but I'm there. This year was one of my favorite years of hunting to date, and I never pulled the trigger.
Back to the topic at hand, whether it's a euro or skin mount, an old winchester, a rocking chair or a dining room table, our kids are only going to want to keep them if they shared in the memories that were made with it. Seldom does a 'collection' of anything mean as much to that person's family as it does to the collector. Sometimes it goes the other way and it's just a representation of time and money not spent with family.