Just want to add, the reason I ask is about Shimano's markings on corresponding BBs.

Looking at R9100 they would label it (it's also on the packagaing like this) as HTII:
https://bike.shimano.com/en-EU/produ.../BB-R9100.html

Same goes for Ultegra/105 respective BB, also as HTII:
https://bike.shimano.com/en-EU/produ.../SM-BBR60.html

Even the Tiagra/Sora BB-RS500 say it's Hollowtech II:
https://bike.shimano.com/en-EU/produ.../BB-RS500.html

Then on Tiagra crankset they only list the logo for "2-piece crankset":
https://bike.shimano.com/en-EU/produ...0/FC-4700.html

Now apparently all those BBs above will work with all of Shimano's 2-piece crankset spindles, while everyone refers to all those cups across all lineups as HTII.