does SPEED SIGIL affact my opponent as well, even if it doesn't say: " each player " like in this THE HOWLING PIT card say?

a bit sloppily worded perhaps? but Speed Sigil affects each player because it doesn't specify "The owner". Howling Pit has to mention "during their draw cards step" because it's a specific step in the turn, so it also specifies each player, i guess.

contrast to Mother which specifies "your "draw cards" step", and this addl. card only goes to the controller: