Back to the OP's question...
I have both the 270 Win and WSM, and have owned the Wby. I like them all! (Although the Wby can be a little hard on meat on deer within 200 yards due to its extra velocity)
For a lightweight hunting rifle, the short action WSM may net a lighter hunting rifle due to the short action...and Browning/Winchester stuck to 23" barrels as a compromise for weight and velocity. Personally, I would prefer the 24" barrel in either the Win or WSM. If weight is a concern, go with a carbon fibre barrel. Wilson makes a slim profile to match steel barrel contours, and can save a little more weight (so far the one I have is shooting fine in another caliber).
The Win will feed smoother than the WSM due to cartridge profile. There were feeding issues in the first WSM rifles, even for Browning/Winchester. The cure was carving a slot in the follower and changing the feeding profile in the action to accommodate the short fat case. I haven't experienced any feeding issues in WS rifles owned since this was remedied, regardless of make (Remington, Winchester, Browning, Sako).
Performance: I have always compromised with .277 caliber bullets by going with the 140 gr bullets - velocity and energy - as I hunt antelope to elk with this caliber.
The Win starts with 2950 fps and 2705 ft.lbs of energy, zeroed for 200 yards, it still has 2120 fps and 1397 ft.lbs of energy during deer season at my elevation and temperature, and has dropped 38.5" @ 500 yards.
The WSM starts with 3100 fps and 2987 ft.lbs. of energy, zeroed for 200 yards, it still has 2188 fps and 1498 ft.lbs. of energy and has dropped 35.2" @ 500 yards.
Most animals are not going to notice this difference at 500 yards, should you need to reach out that far.
For elk though, I prefer the edge, as they are more tenacious of life than sheep/goat/deer/moose, and have denser bone, should that shot encounter heavier bone. But this is just my preference.
Ammo/component availability: The Win will be more available and better priced...because it has been around longer and there are more out there using it. Your priority or need here will be whether you handload or not, and how much you put on the value of your ammo. After all, it is still the least expensive component of your hunt! Rifles, scopes, trips, vehicles, accommodations, etc. are all expensive now, and the days of $20/box for ammo are long gone. Is all of your investment on your hunt worth $2/shot, or $8/shot to get your target animal and put meat in the freezer?
In the end, only you can decide your priorities, budget, desire, etc.
Hope you are happy with whichever you choose and that you enjoy hunting with it for years to come!