Lake view is a gamble....some LV rooms have a better Fireworks view than Theme Park View rooms, and other LV rooms have a worse overall view than some Standard view ones. I've been on both ends of LV.
Most of the interior (odd-number units) of the BLT is classified as Lake View. The north and south odd number units look directly at the other tower. You really have to crane your neck to see the lake, and all but the first few floors are LV.
Our most recent trip, we had a Standard 1 BR - even numbered, north tower, fifth floor. It was easier to watch MK fireworks from this room than it was in our TPV room on the high floor, the prior year (I forget which unit number, but closest to the CR bridge side of the building).
I think BLT needs a few more view classifications...lake view just is way too broad.