It really matters. I believe in the free market. Competition would result in the best solution getting adopted.
If Bitcoin makes remittance cheaper, I don't care if it is AXA (or any other company) which adopts it.
Western Union and others will have to adapt or fade away.
In the free market, competition will result in pricefixing, hollow products, low cost outsourcing. The only 'best sollution' it will get is the best sollution for the shareholders and profit. Free market and competition will never, ever benefit the consumer, it will only destroy products, services and companies, like a locust swarm it will eat all it can and leave when it is all gone to feast on another project.