Let's clarify some things...
1) 1 MOA at 25 yards is a lot easier to achieve than 1 MOA at 50 yards or 1 MOA at 100 yards with .22LR. If you look at the sizes of the 10 rings on small bore rifle targets you'll see being accommodated as the rings get larger in slightly greater proportion than just the linear increase in range would suggest. So "MOA" means something different with .22LR then it does with a high velocity centerfire rifle caliber where MOA has a much more linear relationship to range.
2) High velocity .22LR (around 1280 fps MV) goes subsonic around 25 yards, so a rifle that shoots great 25 yard groups, might look significantly shittier at 50 yards as the bullet destabilizes as it goes through the transonic region. Consequently, most target shooters shoot standard velocity .22LR ammo with a velocity around 1080 fps at the muzzle. For this reason I pretty much discount any accuracy claims at 25 yards, especially with high velocity or hyper velocity ammo, as it is pretty meaningless beyond 35-40 yards.
3) Bullet groups tend to display a normal distribution pattern. If a rifle shoots an average group of .75" at 50 yards (about 1.5 MOA) with a standard deviation of .25", then 67% of it's groups will be between .50" and 1.0" at 50 yards - half greater than .75" and half less than .75". It also means that 13% of the groups will fall between .25" and .50" at 50 yards with another 13% falling between 1.0" and 1.25" at 50 yards. About 3.5" of the groups can be expected to be smaller than .25" and the same 3.5% can be expected to be larger than 1.25".
What that means is that a decent .22LR rifle that might average 1.5 MOA at 50 yards can turn in an MOA or better group about 20% of the time. But the other 80% will be greater than 1 MOA.
A truly accurate rifle will turn in small groups, but will also do it with much greater consistency so the standard deviation is smaller and the distribution curve is then a lot smaller than is the case with a less accurate and less consistent rifle.
4) That's the long way of saying practically everybody has a picture of a great group their rifle shot - but unless it does it on a regular basis, you can't call it a ____ (whatever fraction of MOA you want to call it) rifle. In this case I'd accept 67% of the time, and no one would argue with you if it did it 95% of the time.
5) To make that happen you'd need to have a rifle that averaged groups that were at least 1 SD below the MOA level you are looking for to ensure that the 67% that fall within 1 SD of the mean all fall below that MOA performance level. So if you had a rifle that had an SD of .1", it would need to average groups of .4" tat 50 yards to ensure 67% fell under .5" at 50 yards to claim "MOA". If you want that same rifle to shoot to that level about 95% of the time then the average group size needs to be .3" if the SD is .1".
6) My Anschutz match rifle will shoot groups around .4" off a bench at 50 yards with low end ($5 for 50) target ammo like SK Standard Plus and do it with a high degree of consistency. So I can usually count on MOA performance at 50 yards with that ammo - with the exception of the 1 or 2 fliers that seem to end up in every box. However that slightly better than 1 MOA accuracy 50 yards increases to around 1.25 MOA at 100 yards, and that's pretty much the norm with .22LR, or any other comparatively low velocity and low B.C bullet.
7) Accuracy costs money in .22LR. I have rifles that will shoot 1.25 MOA with 3 cent per round bulk ammo, but shaving that to 1 MOA may cost 10 cents per round and getting consistent accuracy approaching 1/2 MOA will cost 20 cents per round.
8) How much accuracy you needs depends on what you're doing. I practice shooting small bore three position shooting 2-3 times a week. If I shoot 40 rounds in each position on each trip to the range, the ammo cost is $12 per range trip (plus some sighters) if I use 10 cent per round ammo. I am not going to set any records, but I am also a better than average shot, so the ammo I use makes sense. If I use cheaper ammo, it won't shoot as well as I do and I have no way to monitor progression or improvement. As it is, better ammo would improve my score but we are talking a matter of a 2-3 points per 40 rounds. In a match that would mean something, but for practice purposes, it's enough that I know that when a cleanly made shot scores an 8 or 9 rather than the 10 it should have been, that's it's the ammo and not me. And when I shoot an actual match with 20 cent per round ammo, I have some confidence that if I do my part, I'll pick up a few points and several Xs over my practice sessions.