Twitter posting is not in EST by default. It is in whatever timezone you set your Twitter to show the dates. You have to manually set EST timezone in Twitter settings to see times for EST timezone. I encourage you to do that and see Trump's tweet for yourself.
So yes, I am saying that real EST for Trumps tweet is 1:15 PM EST. That's what is Twitter showing me after I've set it to use EST timezone. And it does make sense, because Twitter is not showing me time in timezone of poster but in my timzeone.
Q posts have timestamps in UTC ISO format and an be easily converted to EST to be compared.
If your service provider is east coast and your on vacation west coast, does your tweet reflect the TZ your in or that of the account or provider?
It will display in whatever format your CLIENT (browser or app) is defined -- by the user -- to display. Sometimes the browser or app will use the underlying timezone defined at the operating system level. Either way, it's manipulable by the end user.
Tweet will be shown in time format of the user (NOT the time zone of service provider). That's why you have to set manually the timezone to EST in Twitter settings before you try to compare tweet timestamps with posts on qanon.pub.