I have the now-discontinued LG LSE4617ST which is similar to the LG Studio LSIS6338F. The range performs well. Its oven rack slides easily and the oven is very large. The induction elements are arranged to accommodate the radiant warming element which the Bosch does not have. An improvement of the LSIS6338F over the LSE4617ST and Bosch HIS8055U is its direct-entry keypad for setting the oven temperature, cook time, timer, etc. A very useful feature of the LG ranges is the LED array just below each induction element that shows the power level and, if a pan is too small or incompatible, whether the element will automatically shut off after a delay.

Note that another LG range the LSIL6336F is "coming soon", has an angled control panel and will be priced at $3K so if you're not in a hurry you could wait for that. I don't see anything that justifies the HIS8055U costing $1200 more than the LSIS6338F (or $1400 more than the LSIL6336F).

Are you happy with the burner arrangement on your LG? Looks like one large, one medium, 2 small and a warmer. Are you able to use two 12 inch pans at one time?

I just centered my 10" and 12" frying pans on the cooktop's front elements and there was 3" remaining between them. There was room for a 6" pot at the rear-left and 7" pot at the rear-center.