I think your rifle should not be doing that that bad. I like to shoot a new rifle then check bedding. I find a lot of new rifles can be improved with bedding, but then, maybe I just like the bed rifles. I don't think bedding will hurt a rifle but good chance it will improve it. Then again you might find that you like the way a rifle shoots even without touching the bedding! If it ain't broke, don't fix it. Only you can decide if it's broke or not! For myself your rifle shoot pretty darn good for a hunting rifle. 1" for three shots just ain't all that bad! How many animals gonna give you more than three shot's before leaving the country? If you see yourself as a long range hunter, your rifle doesn't shoot very well but then if you were you'd already know that. I've never heard of it happening but at long range you miss with the first three and then you'd need the fourth, maybe more!
Rifle with a plastic bendy stock. If the bendy stock was the only problem I would thing the first three wouldn't shoot as well as they do! But maybe! I did a 700 ADL plastic stock that could not have been bendy. Barreled action was so tight rear stock bolt to the barrel channel tip I had to beat it out of the stock. I considered filling in the stock with J.B. Kwik Weld but didn't right away. Simply got it all bedded in so I could simply lift the barreled action in and out of the stock. Sanded down the barrel channel to free float the barrel. Then tried shooting it, shot great! If the stock bent and bothered the accuracy, I suspect it would be in the barrel channel. I have read of guy's epoxying a push rod out of their wife's car in the forend and they claim it works. I would think simply releaving the stocck away from the barrel a bit would do the same! My though is a stock bending and ruining accuracy is not bending all thet much and relieving the barrel channel a bit should fix it. Now If it doesn't, you can still reinforce the barrel channel and bed it! A bending stock would hurt accuracy because it bends enough to let the barrel bounce off of it. Like the barrel bouncing off a tight spot in a wood stock, same thing.
My though for you is float the barrel and check the action. Tighten down the action screw's and watching either at the front of the action or end of the barrel channel, the barreled action and loosen the front guard screw fairly slowly. It the reciever is in a bind the front of the action and the barrel at the tip ot the stock will rise. For that I would definately bed the action or have it done. You would be looking at a bind in the reciever, easy fix! With the rifle just the way it is you might try sliding a piece of typing paper down between the barrel and stock. Everyone recommends a dollar bill but I like a bit more relief. Floating the barrel channel I use two pices of typing paper. If the paper slides easily to the action, then make sure the actin screws are tight and loosen the front one watching for movement as said above.
if the rifle was shooting well enough even a pressure point may or may not make a difference. Knew a guy years ago had a full stock rifle, it really shot well. We pulled the stock off and readily visable was the tip of the stock bending into the barrel severely. But the rifle still shot very well. If it works, don't fix it!
Don't know that the problem comes up any more or not but, years ago I had a Parker Hale that blew shots way out of the group after a few shots. I was told the problem was back then Parker Hale did not stress relieve the barrels and as they heated up, they walked the group. I suppose that is possible but so I'm told, everyone stress relieves barrels today. Might be worth looking into though.
Two more maybe problems are to thin a barrel that simply vibrates to much and to much cartridge. To much cartridge for you may be causing you to flinch without realizeing it after a couple shots! I've no idea how much a 270 WSM recoils and not sure it even matters. Take the right person and give them a 243 to shoot and they can't, could be it's no more than the noise of the rifle shooting that's causing the flinch. Please understand I'm not saying that's your problem but rather something to consider. I've seen a lot of guys shooting magnum rifles over the years that simply didn't shoot them well and I suspect it was from flinching due to recoil or noise. When I shot a couple magnum's years ago, I had to shoot a lot and be pretty critical of myself to handle them. recoil was simply to much with a 7mm Rem Mag and couple 338 Win Mags. You can overcome it but you have to realize it's needed first.