It depends on the flavor of conservative, it’s just been a while I’ve seen people describe themselves specifically as fiscally conservative. And a lot of the people I’ve known to use that term are very much free market types that dislike any form of regulation, taxation or government interference in industry/commerce.
Im not going to put a label on you that you don’t welcome but your (brief) description of your preferred economic policy is in line with the “left leaning” side of liberals, and old establishment democrats. Austerity politics is big in the DNC, despite their virtue signaling. (I was re-reading this and noticed I assumed you were from the US, apologies if you’re not.)
Wouldn’t you consider taxes to be a form of wealth distribution? On paper, the wealthy are supposed to pay taxes to fund public projects. That’s obviously not how that happens but I’m sure we can both agree that this is how it’s sold to us. It’s quite literally taking more money from the wealthiest than the poorest and using that money for the betterment of all, which the less wealthy individuals in society benefit the most from.