On an Android phone, there is an "Add to calendar" button for the reservation.

I just booked a ticket departing Chicago Union station next week at 5:15pm, and, after adding it to the calendar, it appears in my Google calendar as 5:15pm ET.

So, there is your bug.

Maybe AGR Insider can point us to the team at Amtrak Technology that rewards users for finding simple bugs that should have been captured during beta testing.