The real sticky issue for the RTX 4060 Ti is its 8GB VRAM limitation. Like the RTX 4070, it will come with a fair chunk of L2 cache attached to the GPU itself, and that will help keep the bandwidth numbers up. At least when compared to what you might otherwise see on a 128-bit memory bus as the card is rumoured to have. But that only helps in bandwidth, not actual capacity to deal with a whole load of game data.
And even so, the rumoured 288 GB/s of memory bandwidth is significantly below the RTX 3070 of the last generation, and the RTX 3060 Ti, even though both older cards were similarly 8GB, too.