It may, it may not.
Just owning 1btc is not enough to create generational wealth,  the main issue is the ability of the owner to allow that 1btc to multiply. One major challenge with investments meant to serve as a generational wealth is mismanagement of the investment. A person who owns 1btc today and suddenly becomes so impatient and begins to spend heavily from that same investment which is meant to serve as a generational wealth, will leave nothing or very little for the next generation. Even if the holder of the 1btc successfully multiplies that 1btc and transfers it to the next generation who does not know how to manage that wealth, everything might be gone so quickly.

A generational wealth requires a person with discipline to be able to manage it well and pass it further to the next person.