I'm looking for options on which National Express bus to get a ticket for. I'm getting off a 10 hr flight landing at 12:30. I don't have Global Entry. I read about ePassort at LHR which sounds a lot like mobile passport (speeds up customs at SFO). My options are 2 busses, 1415 and 1530. Just trying to figure out the probability of catching the 1415.
If I understand you correctly, you're landing in LHR at 1230 and want to catch the 1415 National Express bus.
American citizens landing at LHR can go through eGate, which involves scanning your passport and then taking a photo, all done by a kisok.
When the family and I landed in LHR in early June on a Monday morning at 10:30 am, it took us literally 5 minutes to go through eGate, which has many lines to choose from. In fact, it took longer to walk from arrival gate than it did to go through eGate.
After going through eGate, if you have nothing to declare, you simply walk out. That took us another 5 minutes.
The only delay may be getting off the plane. When our LAX - LHR flight arrived, there were no gates available, and so passengers had to deplane and get on a bus to be shuttled to an arrival gate, so those at the back of the plane faced quite a delay in actually getting off the plane.
Other than that, you should have plenty of time to catch the 1415 National Express bus.