Hi FullRangeMan ~
"I never listened the 15'' but I suppose the bass and mid bass is much more rich due the huge cone."
Actually, I did hear the 15" AN Alnico on an Open Baffle speaker design and it sounded good, the bass and lower mid-range sounded rich. If my memory serves me faithfully the upper Frequencies were not necessarily transparent. I think generally speaking smaller wide-range drivers like your 10" AN Alnico have an advantage in reproducing more refined and transparent higher frequencies.
However, there are other ways to augment the bass of your 10" AN to sound a little richer, such as a simple Frequency Equalizer, which can be effective. Apple computers have a simple digital equalizer and some streaming services offer this option as well. Some amplifiers are 'voiced' to perform particularly well with lower frequencies. I had a lovely 7-watt tube amplifier for several years that had effective treble and bass controls. The bass really could be used to bring out a rich bass on any speaker.
Nelson Pass 'bumps' the base on his wide-range Lowthers, and Harbeth speakers are known for 'bumping' the bass as well to get them to sound richer.
Have a Lovely Day ~ Richard