With no offense to you or any others who answer. Flooring last, and only what might be visible, most especially in a stove location. I usually floor under a refrig. Under a stove, I'll install a substrate that might equate to the height of whatever flooring I install.
Any decent cabinet/flooring contractor would never advise installing ANY finish flooring UNDER areas where it will not onlt NEVER be seen, but is totally unnessesary.
Your notion might be to determine the thickness/height of the hardwood, and if neccesary install a subfloor to that same height, even in RAW Ply sheathing, or MDF. For PLUMBING issues if they arise, use Specific length FLEX intake hoses, and a longer Sink/down drain to the "P" trap.
The height differences might only be 3/4 inch,,,MAX?, but the WOOD used in areas where it will never be seen, or of any value, might better be used in Piece/parts to fill short cuts, or butt joints at perimeters, OR might save a dollar or two?
ADD ON: many floor based "cabinets" are approx. 28 to 30 inches off floor level, allowing perhaps a 1 1/2 inch thick TOP, of whatever material, then a laminate or tile over, or granite, etc. It;s pretty much your choice to determine a comfort level for working, and if any cabinets might go above it. In your case it sounds like Not.
I'm only 5' 8" tall. NORMAL works for me. If I happened to be 4' 11" or 6' 7" tall, I might consider modifying base cabinet height by adding to or subtracting from, the base frame the cabinets sit on.
45 plus years as a contractor