The problem is very likely the prime and not the stars. A very hot prime containing thermitic mixtures or silicon should ignite just about anything. The problem is that the prime is not catching alight. It is not uncommon in commercial practice to lightly coat stars with overfueled or overoxidized greenmix when the prime is still damp. Highly smooth prime surfaces can prevent flame from impanting hot particles of dross into the composition. Uneven, granulated meal powder and overfueled greenmix might be needed.
And yes - binding with acetone to make "rubber" stars can sometimes cause them to be harder to ignite (though, I must stress not hard enough to resist strong thermitic primes). You can try binding it with water, but wouldn't that introduce another inhibitor into the picture? 
Many friends will send to you their single-layer primes. Some will work, other not.
Takeo Shimizu uses primes of 7 or even more layers upon his coloured stars. And that guy is not crazy, but knows exactly, why.
I (I am a professional) have developped a 3-layer prime.
First a little bit of prime-theory:
* Compositions based on Magnalium need quite high temperatures to ignite.
* Compositions based on Potassium Perchlorate ignite
slowly, so your prime has to maintain heat for some instances.
* Compositions based on Magnalium and P. Perchlorate have quite low
Critical Speeds in the very moment they ignite. So your stars should slow down, before being
ignited. This means that your prime must be also a delay composition.
* Modern shell break, using flash powder. So a single spark must be sufficient,to ignite your prime.
It is very hard to fulfill all theese criteria in a single composition. Therefore I use 3.
1 Kg of coloured round star core + 200 g layer "A" + 400 g layer "B" + 400 g layer "C".
Prime like making your round stars. Use (best destilled) water, adding 10 % of acetone to it.
Here the exact formulas:
Layer "A":
46 % Barium Nitrate (not too micronized)
22 % Potassium Nitrate (not too micronized)
14 % Magnalium
14 % Red Gum (Acaroides)
3 % White Arabic Gum (not Kodorfan)
1 % (basic) Magnesium Carbonate
Layer "B"
1st version:
50 % Potassium Nitrate (well micronized)
22 % charcoal
15 % Dark Aluminum
8 % sulphur
4 % Dextrine
1 % Boric Acid
2nd version:
raise charcoal up to 24 %
exchange Dark Aluminum by 13 % of finest Atomized Aluminum
Layer "C":
99 % Meal Poder (75/15/10 or 70/18/12)
1 % White Arabic Gum
That's all.
Greetings from Brazil:
Toivo