That certainly is an opinion you can have that it should be that way - all the more argument for the option to set the ID default behavior so that every DM/GM can run the game easily the way they want to - and not the way you think they should.
The point is if it is different in 5e that is proof that it is not a base FG issue as suggested, but something specific to the ruleset that makes it different. In which case there is a setting somewhere that is defaulting it differently, which indeed could be toggled by a UI.
If you want 5e players migrating to PF2e telling them they are doing things wrong it is not going to make it a success. This has nothing to do with version differences, DM/GM are free to decide if people have to do nature checks to identify beasts (or not) or just rule that they would already know so no check is needed in either system.