At PC creation, I roll D4. 1,2,3 = 1 Fate Point. 4 = 2 fate Points. Any player can use a FP at any time for any roll. Often used to save another PC from death, once to re-roll a spectacular fumble that would have prevented the PC from attempting the same skill for a long, long time. (The roll was worse than -176.)
At the end of a campaign, I award 1 FP to a random player, but that's the max. 1 FP per session per player is far too many FP in the world. If there are going to be that many FP given out, as the GM, I would just fudge every death crit so it doesn't kill a PC and eliminate the need for FP.
RM is gritty, challenging, deadly. The crits are the exciting element I love about combat. Too many FP loses the sense of danger, players tend to care less about the actions of their PCs, parrying no longer figures into tactics and combat and the crits no longer have any "teeth" to them.
"Why parry? If I die, I have a FP."
I want the players to care about their PCs. I want them to have invested some of themselves into the PC, but rolling up a new PC is fun too. Then again, I love playing Diablo 3 and 4 on hardcore mode.
* - Of course, this is all just my opinion and how we run our sessions. The players like it so we stick with it.