Yes, 'transistor' is correct for both but as their characteristics are notably different, its worth recognizing the distinction between BJT and MOSFET level shifters.
I've modded your sim to use my switched sources (tristatable push-pull output equivalent) for test signals , at ten times the speed, and changed the R3 pullup to 10K, to enable an 'apples to apples' comparison with my MOSFET sim. Its also worth noting that if you have a 3.3V rail available the R1:R2 potential divider can be replaced with a single resistor, giving your circuit the cost advantage as well as the speed advantage.