The better the quality of the hi-fi equipment and speakers or headphones, the more faithfully they reproduce whatever is played through them. If, as you suggest, you can hear tape hiss from the original analogue recordings, then the equipment you are using must be excellent at doing its job. It plays exactly what is there, including authentic hiss. I would expect this to have been removed in a high-res remastering but some would consider that to spoil the sound.
Hi-fi is short for 'high fidelity', meaning high faithfulness to the original. If you want to reduce the faithfulness of the playback sound, you will need to reduce the quality of the kit you are using or modify the faithfulness of its reproduction by using filters (e.g. tone controls).
Is it possible that the original recording is actually very good and that your audio equipment is introducing hiss? Not all audio equipment is actually hi-fi. Some just plays it back and makes it louder, using budget components and designs that do not offer as pure a sound.
Hiss can't be caused by speakers or headphones though a poor frequency response in either could suppress some frequencies while allowing others to be more apparent.