Let's keep in mind that in the case of AF447, the problem was not the general technology of pitot systems, but a specific model from a specific manufacturer that proved to be less-then-perfect when it came to certain icing conditions.
A few years back, an automaker shipped some SUVs with tires that were prone to tread separation and caused a number of crashes. No one took that as a sign that tires were an outmoded technology that needed an alternative.
The solution was not to back up tires with some other technology, but to refrain from building tires with engineering problems in the first place.
I certainly don't object to exploring what alternatives there are for additional backup to the pitot system, airspeed being as critical as it is. I'm just pointing out that well-designed, well-maintained pitot systems do this critical job very simply and effectively in 99.999999% of flights.
Sometimes new technology is a breakthrough in safety and effectiveness - and sometimes it is just a solution in search of a problem.