No, you don't. See below.
> People work more than they currently need to because they don't have a trust fund.
No, people work more than they currently need to because they are exercising prudence, common sense, and planning for the future. Which every adult human being is supposed to take responsibility for doing for themselves, and not expect a "trust fund" to magically take care of for them.
You're arguing that if people had a "trust fund", they wouldn't need to plan and save for the future. But no such "trust fund" can exist in the first place unless some people are exercising prudence, common sense, and planning for the future. You can't get rid of uncertainty about the future or the need to plan and allow for it. So, again, you are saying that the people who are going to take responsibility for planning and allowing for that uncertainty are going to be punished by having the fruits of their planning be taken from them to provide a "trust fund" to people who didn't bother to plan and allow for uncertainty.
In other words, you disagree with me completely. I think I should plan for my future, and you should plan for yours. You think I should plan for both our futures, and then you should get to just take resources from me when you need them in the future since it's a "trust fund".