Size is relative. An Axe is too large of tool to split an atom, but too small to flatten a mountain.
338Fed might be a heavy hitter for a short action cartridge with a standard bolt face, but there are some big boys out there. Have to remember - in traditional cartridge etymology, the 338 Fed is still a “small bore” cartridge.
That 3-9x Banner I mentioned rode atop the 416rem mag on the right, your 338 Fed’s kinsman, a 308win on the left for perspective. It throws almost twice the bullet at the same speed as the 338Fed.
The truth of the matter - most low cost scopes are just as recoil tolerant as higher cost optics. The glass will suck, the adjustments inconsistent and with lash, and the gas seal will often fail - but it’s pretty hard to screw up manufacturing a screw. Expecting a scope to hold zero isn’t asking for much, and even low cost optics typically will - even in the presence of heavy recoil.
Banners were great optics for their price point. Exceptionally bright, but at an exceptionally low price point. They were what all low-budget scopes should be.