Because if they added a 3rd sensor in it would come away from the 1960's type approval. PLus it would have meant that the pilots would have had to do a bit more than a 2 hour CBT which was a huge selling point of the MAX for NG operators.
I don't know of any aircraft with 3 vanes to be honest. They are about 500$ each on my type. They will be cheaper on the max because they will be the same as on the NG so economies of scale.
By now, this kind of re-certification could be on the table. Boeing is contending with not NEVER delivering hundreds of aircraft. The stakes are high in this game, in the billions.
The cost of the sensor is hardly an issue. Any number of shops could do a hardware installation kit for one of those, for the cost of a few tanks of fuel. Feeding the data in a meaningful way into the MCAS system, then rewriting the software from SCRATCH because it needs a new criticality class would cost millions. That task is beyond the ability of many players in the aerospace industry except those that routinely develop software-driven hardware. I haven't heard yet exactly who developed the MCAS system (I would expect it to be a 3rd party, but it could be Boeing engineers, not making assumptions) then that team working flat out would need more than a year to finish unless they got a LOT of help and had the eye of Sauron on them.
What Alistair is talking about is commonly called "grandfathering" or the continuation of certification rules from a set date in the past. There are good reasons for this practice to continue because 99% of the time changes are minor or don't affect the level of safety in operations. It's that 1% of the time that the change tips over. When doing certification, we regularly do an evaluation of the scope of any change, to determine if it requires a re-evaluation of the certification basis (Transport Canada in my case, but FAA and EASA have equivalents). If the scope is big enough, we could end up using the latest rules, rather than the rules in place when the plane was certified in the past. Even modifiers of aircraft like me do this evaluation, not just the big OEM's. For example, a substantial change would be the adoption of "fly-by-wire" in a previously mechanically controlled aircraft. Other kinds of changes can skirt the edge (but don't usually cross it) like conversion of the interior from passengers to all-cargo, fuselage stretch, or changing from steam-gauges to an all-glass cockpit. If that cargo conversion includes extending the doors, it tips over. If the all-glass cockpit were to reduce the crew workload that you could eliminate one of the pilots, that would definitely tip over an old plane into a re-evaluation under the current rules. That's how the Q400 was grandfathered despite its stretched fuselage.
I've long been convinced that the 737 of today is drastically different from the 737 of 1970. There are some barriers that would be very difficult to cross if the FAA forced Boeing to apply for a new type certificate, using current certification rules to the 737 airframe. Most obvious to a structures guy like me is that after 1970 the required crash loads were changed, but the 737's are all designed to the original levels. In some conditions the floor structure would need to withstand 50% more load to meet today's requirements. There may be a margin of strength already built into the floor structure, so maybe it wouldn't need to be made 50% stronger, but still SHOWING it and fixing the shortcomings are not trivial jobs. This kind of check-and-fix procedure would be required for all points of the design. It would probably not be worth saving, and cheaper to just start with a clean sheet of paper.
For those still reading, here's a mind-bender: The current practice of evaluating the scope of a design change to see if it invalidates the principles in the original design is a rule that came in during the late 1990's. Since the 737 stretches were also done in the mid-1990's they were completed before this new rule came in. If Boeing had tried the NG's after the changed-product rule was introduced, I don't think they would have had such an easy time.
No one believes the theory except the one who developed it. Everyone believes the experiment except the one who ran it.
STF