I ran the calculation for an example Hyatt.

$200 / night x 5 pts per dollar = 1,000 pts
1,000 pts x Diamond bonus 30% = 1,300 pts
1,300 pts + Diamond Welcome Amenity (instead of a food item) 1,000 pts = 2,300 pts
2,300 pts x 4 one night stays per month = 9,200 points

Note that Hyatt does not have an affinity credit card to earn additional points for spend.

A mid level Hyatt example might be the Hyatt SFO Airport Hyatt Cat 2 compared to Embassy Suites SFO Hilton Cat 4.

So with Hyatt you would get 1.2 free nights / month.

In addition, Hyatt regularly runs bonus points for almost each location. In our example, the SFO airport has 1,500 pt bonus per stay.

If you include the "G" bonuses for the stays at the Cat 2 SFO Hyatt, you get a total of 15,200 pts or 1.9 award nights per month.

Also, during Faster Free Nights periods, you will get the points, plus 2 free nights, for a total of 3.9 free nights. The Faster Free Nights can be used at any property worldwide (excluding 2-3 locations), so have a value up to 18,000 points each.