Yes, you are getting into a rat's nest of problems.
First off - you and the kids are getting into where EVERYONE has a different opinion. And the courts look on real property as an asset - complete with appraisals required for things like DEATH, divorices, assets for nursing home, lawsuits, and then finally, to disposal via gift or a sale (ha, ha) ... another round of getting everyone to agree and then SIGN to do such.
Would you put all your kids on the recreational vehicle title? Or on a boat title?
Timeshares are great until the MFs increase, special assessment happens, families get larger, family feuds develop, and someone dies or stops paying their share of the debt.
So apply the K.I.S.S. principle of life .... you want, you own it and your name is on it.... then you decide usage and pay for the bills.
PS Give you another HINT ... no one gets FREE usage. So if the family member who has lost a job wants to go on vacation ... get them to PAINT your personal house with a contract and work gets done before VACATION time. Or if they make lesser income or have unexpected bills .... maybe, they should save better or get a second job. Or YOU take the grandkids and leave the parents home.
I take my nephews on solo trips over the last 10+ years. I fly them and I feed them; the parents usually give them $20-30 for pocket money and to bring home a gift to whoever.
I host adult family get-togethers (siblings with spouses, no kids) for 10+ days (premise is 2 weekends included to allow decent travel arrangements) ... that is 7-9 adults in attendance. I pay for the "roof" (the timeshare) and everyone pays for their travel to the timeshare. They buy everything else - so no rental car for me (I ride with them), no food expenses for me, no tickets expense for me - and I am NOT party to how they handle the various costs. Have done these trips to South Florida, Kauai, and last two were to Phoenix - referred to as "My Birthday Party Weeks" or "Spring Training Weeks". And very well attended ... lots of fun.