I’ll step forward and volunteer to “own all of it”.
In general, I don’t care all that much about statues and vandalism.
In the current state of the world, I laugh in the face of all the hand-wringers and concern trolls who pretend this is a problem of any significance.
So now that I’ve “owned all it”, what horrible and inevitable consequence have I failed to foresee?
I have a feeling, based on previous history, that you aren't going to be very receptive to an honest answer to your question. I think your mind is pretty made up and not really amenable to reconsideration You have your set of concerns, and statues don't make the list, except for the ones you want destroyed, and no one else's concerns really matter. However, I'll give it a shot anyway.
There are right wing Libertarians I know of who don't think there should be anything at all like public parks. All property should be commercial. If people want what is offered by parks, they can pay a fee to enjoy parks. Those people not interested in park land can skip the fee.
I disagree. I think it is a good idea to have public spaces, but as soon as you have a public space, someone is going to want to decorate it. However, different people have different tastes in decoration. Not everyone can win. So, how to decide which sorts of decoration go into a park? It seems to me that's what elected governments are for. I want parks, and exactly which sort of parks and how they are decorated is the function of government officials in charge of parkland to decide, on behalf of the people, and mindful of the people's desires.
And the concept of decorating public spaces isn't exclusive to parks. There are decorations, artwork, monuments, and the like in town squares, traffic circles, public buildings and all sorts of publicly owned spaces.
By taking away that decision from government officials and effectively giving any crowd willing to destroy the chosen decorations a veto power, it makes it very difficult for the government to provide any sort of parks or decorations, because any minority of dissenting people can destroy the work of those who sought to improve the appearance of the city or other public space.
Another line of argument against your position has to do with the past and how it is remembered. Is there anything at all that happened in the past worth reminding people about? i don't mean just in a history book in a classroom, but presenting it to people in such a way as to suggest a common approval from the community, a sort of official endorsement?
Frankly I think a lot of young people act as if there is nothing. The relics of the past, whether generals or elk, are just boring old stuff from before they were born, and they don't think that there is anything worth venerating about any time that occurred before their birth. This attitude creates a very selfish group of people, and creates people unlikely to learn from history. I don't think statue destruction actually causes that attitude. I think it's more of a reflection. However, tolerating that statue destruction I think contributes to the attitude.
In general, I think statue destruction is less of a cause than a symptom. So, the consequences of statue destruction will not be severe. Rather, the statue destruction is actually a consequence of the sort of attitude that puts my interests, my concerns, or, if truth be told, my impulses, above the concerns of my community. I think we see that run rampant in our world today, and it isn't limited to either left wing or right wing politicians and their supporters. It's equally bad for both.
I think communities, whether municipalities or nations, are fundamentally stronger if we work toward common goals, instead of placing personal desires and whims ahead of community interests. Statue destruction doesn't create that selfish attitude, but it does reflect that selfishness, that feeling that I am more important than the rest of the community, and so I need not wait for their approval in destroying a public display at which I take offense. I think in opposing statue destruction by the mob, and requiring the approval of the civic authorities before destroying public decorations is a step toward restoring a sense of pride in community, rather than the first person priorities so prevalent in our modern society.