Here is what I am working with:
Whole house is hardwood save for 3 rooms, one of which I am redecorating.
All the other parts of the house have level flooring throughout the rooms. This bathroom had linoleum and 1/4" wood under it.
I am going to lay tile in the bathroom, and eventually have to take this hardwood out because there are 3 or 4 types throughout the entire house?
To get an idea of the subflooring, take a look at this picture from my crawl space hatch:
As you can see, there appear to be tongue and groove 2x4s that are the subflooring, with an additional 3/4" plywood above. This seems to span the entire house (including the bathroom).
Should I rip out the 3/4" plywood in the bathroom and bring it down to half inch? The tile will be taller than the linoleum obviously

I was also told that the hardwood may be improperly laid as is...