First video is all you need. Merely by asking the question you can infer that this isn’t the consensus, and it confirms that mass warping spacetime is the basic idea of general relativity, which, of course, is the consensus. Time dilation is a consequence of the postulates of relativity.
But you can look at the equations and decide what causes what is different. If y= mx, does x cause y or does y cause x? It depends on the framework you use. If you don’t have some mechanism in place you can go either way. So sure, you can interpret things to say time dilation causes gravity. Is it the consensus? No, it’s not. ‘
IMO it’s a game. In SR time dilation is a consequence of motion, but does anyone insist that time dilation causes things to move? No. We still have Newtonian physics as a basis (even though the math is an approximation, valid at low speeds) where something starts moving only if there’s a force on it. Time isn’t a force. In GR things get muddled because gravity isn’t a force..But kinematic time dilation doesn’t cause gravity. The kinematic term is the wrong sign. Satellites at a radial distance of ~9600 km (~3200 km in altitude) have the kinematic and gravitational time dilation cancel. Is there no gravity at that altitude?