Spiked Club vs Morning Star for Strength Build

[Colonel Mustache]

I've been leveling up my morning star for a while, and figured I'd use that. But I just found a spiked club, and that got me to thinking. I'm pretty sure the reinforced club had better Str scaling than the morning star in DS3. They have almost identical movesets, and I'm going to use War Cry (Heavy) on it regardless, so it really comes down to the small details. Is it worth swapping over to the spiked club at this point? Will it ultimately have better damage, assuming I'm pumping strength?