Redoing Threat Dice in GOZR

I did the math (and rounded up to the nearest 16%) (lord, someone should probably check my probabilities) to answer the question: 

What if you used the initiative die in J. West's GOZR as the threat die too?

This appeals to me because I'm the kinda dude that forgets threat if a macro isn't screaming at me about it.  

Remember, in GOZR, a 1 or a 2 counts as a threat realized.

Threat Die	% Chance (≥1 die rolls 1 or 2)	Equivalent d6 Roll ≤
3d4	87.5%	5
2d4	75%	5
3d6	70.37%	4
1d3	66.67%	4
2d6	55.56%	3
1d4	50%	3
2d8	43.75%	3
1d6	33.33%	2
1d8	25%	2
1d10	20%	1
1d20	10%	1*

*: Maybe you have to roll again and get 1 to 3 to represent this low percentage, or maybe let the common gooz (the monster with this sucky range) have their moment to shine anyways. I know I'd choose the later.

So it is possible for the PCs to win the initiative (they just need a 3 or better) but still have to deal with a threat coming to the fore.

I've been messing around with a similar, but simpler version of this change in my latest Fantasy Heartbreaker. 

In our roll20 GOZR games, I switched to a d20 for initiative and adapted the percentiles above to d20 ranges. The appeal of the honest d6 is tempting me tho. 

the d20 macro for d20 initiative/threat (it's not super elegant):

https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj8msz3l8nCjwl2aB2uP-d6fs7qSwUDr_pVFqCqe-WLCaawjjl4sAimKwIWp76s405K4T-psam6dhaqU5zEcM2RElUZldF_GYtO2DxWr3CcejWHZxAFhbx2btxzX7QiICMLKiTRZvcLkaGY/w418-h319/GOZR-sketch122.jpg
&{template:default} {{name=round ?{what round} starts}} {{initiative die=[[d20]] (on a one to ten, the monsters go first)}} {{spend  gooz?= you can seize the initiative, personally}}

/w gm | Threat Dice  | % Chance (1 or 2)   | d20 Range |
/w gm 3d4          87.50%                                 18
/w gm 2d4          75.00%                                 15
/w gm 3d6          70.37%                                 14
/w gm 1d3          66.67%                                 13
/w gm 2d6          55.56%                                 11
/w gm 1d4          50.00%                                 10
/w gm 2d8          43.75%                                 8
/w gm 1d6          33.33%                                 7
/w gm 1d8          25.00%                                 5
/w gm 1d10         20.00%                                 4
/w gm 1d20         10.00%                                 2

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