Objectively, given scheduling, you are going to face the full AFC West and full NFC West every four years. Plus play two teams in other divisions based on schedule every year, which will rotate additional West division through your schedule.
As you know, the schedule formula is as follows:
Six games against the three teams within your division
Four games against another division within your conference
Four games against another division in the other conference
Two games against teams in two other divisions within your conference based on like results.
In 2010, the NFL changed the scheduling formula to reduce jet lag. According to their press release:
NFL said:
Beginning in 2010, a change was made to how teams are paired in the schedule rotation to ensure that teams playing the AFC and NFC West divisions would not be required to make two west coast trips (e.g. at San Francisco and at Seattle), while other teams in their division had none (e.g. at St. Louis and at Arizona). The pairings of teams are listed in the digital version of the 2011 NFL Record and Fact Book (attached).
Adding eight-time-zone trips into the schedule on an unequal basis would play havoc.
First of all, the team in London is going to have a massive disadvantage. Eight trips will be between five and eight time zones. The other teams in your division will face one trip of five time zones.
Second, teams, especially from the West divisions, will have an unequal schedule. Some will host London; some will be forced to fly eight time zones.
You want to rotate the London team through Monday Night Football? Sunday Night? Thursday Night? That starts at 8:30 pm. That's a 1:30 am start time; 4:30 am completion. Then add in the massive disruption to your schedule getting over (Thursday) or back (Monday) on a short week. Or will the London team be prohibited from ever appearing on Monday, Sunday, or Thursday Night?
Add in the free agent issue. While some may embrace London, many drafted players will bolt for the states at free agency, and there will be plenty of players who will need to be overpaid to go. Yes, players like Mario Williams went to Buffalo, but look at the money it took. They will be naturally forced to overpay.
In the current system, the two teams that play each other in London face the same schedule adversity, so they bizarre schedule does not affect the outcome of the game. With a London-based team, it absolutely will.
Can the NFL make more money by adding more fans in a city with 10mm inhabitants? Yes.
Will the competitive product be compromised? Yes.