Booking actually helps in these situations, a friend of mine works as a customer service agent there and spends a fair share of his time resolving such issues. If I get it right, in such cases Booking should suggest the new property to a guest and reimburse the price from the first hotel.
If the workplace wishes to appear welcoming for all and at the same time has numerous sacred topics that cannot be touched even with a mile-long stick, then it is clearly not welcoming enough.
There were not only "rumors" but biased description of the situation, incorrect representation of Damore's words, plain lies about the memo contents and blame of Google diversity policies. You'll find it all in the Motherboard's report that has revealed the story to the general public.