VTVL were mostly suborbital toys and demonstrators. None of the major launch providers were actively developing recoverable, orbital boosters. As for Spacex influencing Blue Origin, I mean that spacex has set the tone for for what is possible and this has almost certainly helped inspire and drive Blue Origin's products.

ULA announced Vulcan's (partial) reusability before SpaceX landed a rocket, and I imagine they had been working on that for some time before it was announced. Granted, SpaceX certainly lit a fire under them to make some changes and bring costs down with Vulcan