

Euro perspective - When I hear fiscally conservative, that means supporting a governmental policy that is frugal with spending and responsible with public assets and finances.
This has several parts, here are some of the most important:
a) Keeping a balanced budget - the government should not be spending more than it is collecting from taxes and income. (A little debt in dire times is fine, but that should be payed off when possible)
b) Responsible management and long term planning - the planning horizon should be counted in decades
c) Focusing on core tasks: national security, infrastructure, healthcare, education etc.
d) Not raising taxes unless strictly necessary, lowering them if it is permissible according to the above.
Socially liberal => supports personal liberties
Now why does government debt even matter? Well, because debt is owed somewhere, and if it becomes large may mean that the government is beholden to other parties for the debt.
Maybe not where you live, but here (Sweden) where the average worker pays ~60% tax on their earned income the perspective is a bit different :)
Right now certainly isn’t a time to be cutting taxes, but when the gov:t ends up… checks notes… spending 74mSEK on modern art for a rail link that had already overran its budget by 30% - it gets a bit jarring. Meanwhile hospitals across the country are in full cost cutting mode due to the ongoing recession and inflation.