Looking at the specs they are different Diameter bullets the 44 mag is a .429 bullet the 44 long colt is a .452 bullet so my answer is no you would be squeezing a 45 into a 44

Stick with the 44 magnum/44 Special. If you had to ask this question you probably shouldn't be making or using custom ammunition for safety's sake.

makes me glad that my Blackhawk is a 45 colt

He could, which would make the most sense. Maybe he has a stash of the stuff, I don't know. Modern 44 colt is different than the original 44Colt and uses the .429 bullet not the .451 any more. The ballistic performance of the original .44 Colt is comparable to the .44 Remington, and less powerful than modern .44 Russian loads. Cases for the modern ".44 Colt" chambered handguns are typically made using trimmed .44 Magnum, .44 Special, or .44 Russian brass and a historically inaccurate .429 lead bullet. (As opposed to the older "heeled bullets" with a larger .451" diameter outside lubricated bullet.).

so why not just shoot 44 special ????

That's the original 44 Colt case with the .451-2 diameter bullet. 95% of Modern 44 Colt uses trimmed 44Mag or 44 Special brass so the case is not different. The original 44 colt case also had a much smaller rim as well. The original 44 Colt, no. Modern 44 Colt, yes. https://en.wikipedia.org/wiki/.44_Colt

james the 44 LC has a totally different case with a very small rim diameter 44lc Rim diameter
.483 in (12.3 mm 44 mag Rim diameter
.514 in (13.1 mm
and the different Bullet diameters will cause a huge spike in the chamber pressure 44 mag .429 44 lc .452

Yes, but I always advocate firing the ammunition for which the manufacturer recommends for safety and warranty reasons. Cases for the modern ".44 Colt" chambered handguns are typically made using trimmed .44 Magnum, .44 Special, or .44 Russian brass.