You may just not like "coffee-table" basses. The Lakland doesn't really sound traditional either. I mean, they are both very versatile (probably the Lakland more so) and can get some thump and warmth, but both sound quite modern. The Ibanez actually arguably is more traditional since it uses single coils, albeit huge ones. The B on both will probably be fine, my Lakland 55-60 had a pretty weak B, my 34' scale G&L has a very, very powerful one, almost as good as a Peavey Cirrus. If you are concerned about the string-spacing and scale length on the Ibanez, a BTB1605 has 35 scale, neck-thru, wider string spacing, but the same pickups/electronics.
The Ibanez will always have to cope with single-coil hum though, unless you replace the pups.