https://xkcd.com/1732/ Suggests the fastest temperature change in last 20k years is around 1 deg c in a 1000 years. The graph linked here shows 1 deg c in around 50 years.
Annual variation is up to 0.3 deg c, mostly less, from eyeballing the graph data. If you’re suggesting that there is a reason we shouldn’t call a 1 deg c plus change an anomaly, you should really just say what that is, just like you have for winter and summer which nobody would call an anomaly.
I am not saying the rise by whatever many degrees is not an anomaly. That is simply not what they plot. They don't call the steep rise an anomaly, they call every deviation from the arbitrary average an anomaly. They don't plot the "steepness of the rise", although you can see it in the chart. Every point in the plot is called an "anomaly", not the plot as a whole. Even the data points where a year is colder than their arbitrary average is called an anomaly in their chart.
English is not my first language but I think I know what an anomaly is supposed to be.
The term 'temperature anomaly' has come to mean: A temperature anomaly is the departure from the average temperature, positive or negative, over a certain period (day, week, month or year).
If I look up 'anomaly' in a dictionary: a person or thing that is different from what is usual, or not in agreement with something else and therefore not satisfactory
The word anomaly is only used for unusual/unexpected things. Where in the scientific world the term temperature anomaly doesn't have to be used for unusual and unexpected things. For example a temperature anomaly of 0, which isn't unusual or unexpected at all, is still a valid temperature anomaly. However, you would never use the dictionary meaning to classify the 0 as an anomaly.
Maybe it feels more neutral to use a term like temperature deviation or delta.
I don't know who initially came up with the term temperature anomaly and what their intend was, so I won't blame anyone of propaganda.
The temperature rise since pre-industrial times as a whole is generally considered an actual anomalous situation, so it seems fine to keep using the term temperature anomaly in this case.
Your concern seems to be (1) that there is some negative connotation to the word "anomaly", (2) that the chart labels small differences anomalies rather than just large differences, despite small differences being possibly within a natural range of variation, and (3) that a baseline has been arbitrarily and improperly chosen.
These are all non-issues. The word "anomaly" as used here is clearly defined, and means deviation from a baseline. It is not being used in a pejorative or leading sense. In any case, the data is clear - there is a larger deviation towards higher temperatures, over many years, without historic precedent.
What you call an arbitrary average is not arbitrary. It is chosen for a clear reason - the temperature rise is due to industrial emissions which did not exist prior to the period covered by this chart, and at that point global temperatures were more stable than they are now by around an order of magnitude.
Nobody should be confused or misled by the use of the word anomaly here. The context is obvious to anyone paying attention to the science. I doubt you're confused by the data as presented, so I really don't understand why you're concerned about the title.
If it helps, think of the chart as showing which years actually are "anomalies". You seem to have a vague definition of an "anomaly" as something like a significantly large change from a specific average - presumably the temperatures over the last 1000 years would be sufficient.
I feel like you're expecting this chart to show more than it does, it's really very simple, and in no way misleading.
Except you also seem to misunderstand the use of the word, as it is completely unrelated to there being a "deviation towards higher temperatures". At most you could argue that it doesn't matter if people misunderstand it, as there happens to actually be an "anomaly" anyway.
About the reference time frame - I think things were going on before, like mini ice ages and what not. However I merely wanted to point out that the timeframe is arbitrarily chosen, not that it is necessarily a bad choice. In combination with the word "anomaly" it becomes more questionable as it kind of implies that those 10 years were "normal".