The challenge with orbital booster reuse is getting them threw the atmosphere intact and ready to land and then be reused quickly. And do that while being optimized enough to carry payload. That is the actual challenge. And that's just the first, then you need to build everything to be able to do this 5-10 times.
Only one other company then SpaceX has achieved getting a booster back at all, and that was by dropping it into an ocean. RocketLab, and they so far as I know have never reflown a complete booster. BlueOrigin has never landed a complete booster. ULA and Arianespace aren't close.
Honda in particular is not a launch competitor and is very unlikely to be one in the future. Japan already has a pet rocket that they support that has low launch rates. Honda isn't just isn't a competitor in the launch sector, and I don't think they are even planning that.
BlueOrigin might emerge as a competitor, but its nothing like Sun (sun was profitable in the first year). BlueOrigin simply has an infinite money glitch, that almost no other company in history had. The amount of money BlueOrigin spent in the last 10 year is actually unbelievable, they at times had the same amount of people as SpaceX, while having near 0 revenue. By any rational evaluation BlueOrigin is completely non-viable as a company, any they are burning billions per year.
RocketLab will likely be a real competitor eventually, but they are pretty clearly positioning themselves at being Nr.2, not aiming for flight rates nearly in SpaceX territory. And they have a lot of technical risk left to clear.
At the moment SpaceX is moving forward faster then anybody else is catching up. Falcon 9/Falcon Heavy still run loops around everybody and nobody will challenge it for another 10 years at least, and that's assuming Falcon 9 operations don't improve.
Starship isn't needed for the launch market, but for their own constellation.