You're talking about sensitivity, you have to look at more numbers than just cone size. In general, yes, most 15's are much louder than 10's with the same "watts"
lest break it down:
its very simple, SPL comes from displacement.
Sealed box
ported box
hornloaded box
Nth order box
it-does-not-matter
so if yo have more displacement you have MORE SPL, plain pure and simple.
here is why its confusing.......
getting displacement is not so simple. #1 it takes power which is completely different for each driver and system. For high SPL, you'll need a lot of it, but it hardly tells you how much SPL you're getting. There is MANY more numbers to consider here. You'll often see sensitivity figures posted, but more so you need to consider the system sensitivity and this is actually frequency dependent. When you get into system design, you need modeling software to calculate that or you need to bug and EE major and give you the down low on laplace transformations and signal processing... .good luck.
ok here is why it gets even more complex. Small signal measures are hardly a definitive way to rate a subwoofer, you can get the BL, and DC resistance of the voice coil, but in practice the displacement is not so easy to figure out because the these numbers change with respect to voice coil position and the amount of current applied. This is called non-linear transducer analysis and there are measurement systems like the klippel analyzer to figure out how the driver does at higher voltages. Its a very ignorant field of study when you design a driver
now what this means, if its very complex to figure out how much SPL you're going to get because its not easy to figure out exactly what kind of displacement your going to get at exactly a particular voltage at exactly a given frequency often times we just measure it. We can use softare and come up with very close approximations, however I cant promise you very few people go thu the effort to figure all that out so you often see blanket statements tossed out there
Bottom line, if you are even in the ball park of having a lot more displacement and you can use it (have the power), you're going to have a lot more SPL, remember displacement comes from many sources, for example, in the case of a ported subwooofer at resonance, the displacement comes almost entirely from the port. You can calculate exactly how much is is again using software... or math beyond most people here, but generally you can figure a port will move around 10 to 15" peak to peak at say...20Hz before serious drag compression occurs (1/4 of that at 40Hz), the funny thing about ports is that they are not limited by a suspension system like a passive radaitor, but rather by drag and drag is a non-linear function based off velocity which will be higher for higher tuning... so often times you need very large ports, even for higher tuning points if you want to minimize port compression, you can then use simply geometry to find the volume and compare that to an active woofer displaceamentwise.
serious, get bigger woofers, they are generally louder and sound better (lower distortion)
and never ever buy a 10" subwoofer unless you have forced by small spaces in your car.
good luck.