In picking out your cooking appliances, there is no one appliance that is best at everything. Cooks are a diverse lot and a very individualized assessment should be made looking at how you cook and what other needs might be considered. There are many threads on this very subject Wolf vs BS if you search back on this forum.

These ranges are on opposite ends of the range spectrum. These are some of the physical differences that do not require someone using the oven to know about.

BlueStar

burners

BTUs are higher, but unable to compare simmers because BS rated theirs by temperature, which is meaningless

uncapped burners- if you wok, this feature allows the flame to go straight up, more to the middle. This allows more heat to the middle of the wok. The cap on Wolf causes more flare on the highest heat.

star shape burner- burner ports are dispersed over greater area

open burner tray with pull out underneath -some people have strong opinions about which is easier to clean.

BlueStar oven

gas oven- although moisture is released as a product of combustion, the oven requires more ventilation so that moisture and moisture from what is cooking along with more heat go out of the oven into the kitchen. Because this removes more moisture superficially from whatever is cooking it promote the Maillard and other reactions that produce browning.

convection is simple, on and off

no other cooking modes

much bigger oven, holds a full commercial baking sheet or 2 half sheets

infrared broiler-hot but smaller

Wolf

Ring burners-dual stacked so it allows for a different range of heat on each burner. This keeps the spread of a sealed burner down.

sealed burner tray-again strong opinions about which is easier to clean black enamel

capped burner, more spread than BS but not as much as something like 5star The cap and sealed tray were developed to make burners easier to clean in the 1980s but not everyone thinks it easier to clean

less BTUs on the top rating, but very low simmer

If you are wanting a built in griddle Wolf's infrared heat source is superior because it provides even heat to the griddle which is rolled steel and will tend to hot spot.

Wolf oven

Electric oven-More of a closed system so holds onto the moisture from what you are baking. This can give a longer rise for what you are baking but if you have been using a gas oven, you might not notice this as much.

Computer boards are necessary to control direction of heat from top, bottom or back(called true or Euro convection) elements. The oven cycles through all of them but more from the bottom from baking and more from the top for roasting . There are also two fan speeds. Not everyone likes having all of the electronics.

The oven is much smaller.

The broiler is much bigger.

Sad to say this and any blue enamel lined Wolf product has the problem of chipping from to time. It has been going on for 10 years and there are a few class action lawsuits going on. That last one reported here was about a month ago on a range about a month old.

I have the Wolf DF and I did like the oven until it chipped. The burners worked for me because the flare was just right for bigger pans and I have very heat conductive pans (aluminum and copper) so don't need the star burner. I would love to replace this but have not found any dual fuel ranges that I have confidence in. I have used real commercial ranges, one with star burners. It had no simmer and BS users report the simmer to be good.

If I were buying now, I would buy a rangetop and separate wall ovens. You can pick what is best in each. I would pick electric because I do bake a lot. I can use the fan to have that evaporative loss you have in a gas oven.

You would most likely be better served with BS burners and the gas oven would be good for what you bake and roast, except cakes so aside from ergonomic issues with a wall vs range oven, the range would work for you.