Well, becoming small-c conservative, to a certain extent, is probably fairly normal, though perhaps not inevitable. Capital-C Conservative, not so much: that doesn't come with age, it comes with wealth.
Also although in the tech industry this link has been broken/inverted, there's usually a correlation between excessive risk taking (i.e. lack of conservatism) and losing all your money. In most sectors of society wealth is built up over time through care and perhaps a bit of moderate risk taking, but not too much.
Ref: "Have the Boomers Pinched Their Chiren's Futures", David Willets, Royal Society lecture. https://www.youtube.com/watch?v=ZuXzvjBYW8A
My first contracting job where I had to pay quarterly tax estimates (apologies for the U.S. tax-code specific reference) literally changed the way I thought about the world. Instantly financially conservative.
By far the smartest thing the US government ever did was take your taxes out of your paycheck so you "never see it".
BTW this applies to personal taxes not corporate taxes. Still think we're going about inflation completely wrong by raising rates and not raising corporate taxes. But the U.S. has been on a genocidal campaign against the middle class for decades now and we keep electing the same politicians so I guess we get what we deserve.