An equity grant is an allocation of shares/options offered to you when you start. eg: join our company and get 40K shares. Vesting just controls how long it takes you to get those shares. In a 4 year vesting you get 10K each year. In a 1-year you'd get them all at once in 12 months.

This is independent of the share price, it's your equity that's the whole point. So in no universe is it better to get 40K after 4 years than it is to get 40k in one year.