Take the free-trial offer on a Placette buffered pre, and you will discover resolution you never achieved with the Line 2 (it beats the Line 3 also). The BAT sound is an entirely different kettle of fish - both from the Line2 and the Placette. You may very well prefer the BAT to the Placette, but to my ears, that would only be so if you hated the Placette's ergonomics or looks (quite understandable), or if you like a preamp to add its own character to the sound. Having said that, I would probably prefer to live with the BAT's romanticisation than the Line 2's sterility. But why bother when the Placette can be had for less than either, and suffers none of their colourations.
Want to upgrade my Sonic Frontiers Line2
What should I look at to improve on the SFL2? Under $5k used