Hi hi!

I'm currently playing with Surgical Metamorph in historic (costs 1 less if you're going second), but there are a few other cards like this - Lonely End (person going second gians 3 life when it resolves), Desert Cenote (comes in untapped if you're going second), Unnatural Summons (costs 1 less if you're going second), stuff like that. Even outside of Alchemy, we have stuff like Starting Town - in theory, it's not too hard to remember "is this one of the first three turns" - but the reality is that with ramp and missed land drops, it can actually lead to mistakes that you can't recover from (ie. in a live game, you could ask the opponent what the turn number is - if they tell you 1 to 3, and you drop Starting Town then they go "oh no, it's actually 4", I'm pretty sure even at competitive events you'd be allowed to take it back based on their miscommunication).

In the case of the "costs less" cards, sure, they tell you who the starting player was if you hover over them - the issue is that some of these cards are tutorable. I sometimes have the option of grabbing Metamorph via Enlightened Tutor - and not being able to tell if it costs 3 or 4 can be game-changing if that was my best tutor option at 3 mana but not viable at 4.

Sure, we can track it ourselves - but really, couldn't we just have something in game? Like a little info tab we can pop out that says the turn number and who the starting player was?