I did the math. People keep talking about Marriott's portfolio advantage being in random Courtyard and Fairfield Inns. Let's quantify the difference:

Marriott has 2500 full-service properties. Hilton has 1000. Hyatt has 500.
Marriott has 304 "luxury" (loosely using this term but not including brands like JW Marriott, W, Conrad, Grand Hyatt, etc) properties. Hilton has 37. Hyatt has 65.
Marriott has 30 five-star hotels. Hilton has 2. Hyatt has 3.

So if you hate Marriott Bonvoy, your best bet is to hope Hyatt picks off more properties (especially luxury properties). But I think it's safe to assume WoH would be much weaker if Hyatt had a portfolio even remotely competitive with Marriott's.

In terms of portfolio composition, 30% of Marriott's properties are full service, 66% are limited-service and 4% are "luxury". 0.36% are five star.

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To better understand the portfolio difference, let's use an example. Let's say you hate every Marriott limited-service property, 80% of all full-service Marriott properties, and 75% of all"luxury" Marriott properties. Let's also say you love 100% of the Hyatt full-service and "luxury" properties. Even in this extreme scenario, Marriott still has a superior portfolio.