Why would there be conflict? I book 2 hotels same night all the time
Globalist Cat4 certificate, for a stay in the next week. $135
There will likely be conflict as I'm assuming the OP is looking to earn qualifying nights on both stays if occurring at the same time. OP is not going to give out a suite upgrade for free if OP does not get the associated qualifying nights.
Hyatt sent out warning letters about that a few years back telling people to knock it off. You're not going to earn multiple EQN for the same night, you can only be in one place at one time unless you've cloned yourself.
I've received multiple QN on same nights, as long as it's a different hotel.
Others have not, guess it's YMMV. It's obvious gaming of the EQN though.
The worst is you are putting the account at risk.
With the previous warning from Hyatt, def not worth losing a Globalist Account over.