"Does this one-year deferral sound right?"

I don't see that there is a one year deferral.

"The taxable compensation on the 2022 paystub"

Payroll has three dates:

Date(s) Worked

Pay Period

Pay Date

This benefit has no bearing on Date Worked. There is the event of the vesting, which is part of a pay period, and, for example, a Salary person who gets paid for the pay period of 1st-15th, paycheck date is about 3 days later; and then 16th-end of month, paycheck date is about 3 days later...would make this a 2022 paycheck entry. As long as you have that info, you have what you need. It will be part of the 2022 W2, then, because the paycheck date is 2022.